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5001133520000 = 2754292155661
BaseRepresentation
bin100100011000110101011…
…0010010111010010000000
3122201002210121000220112102
41020301222302113102000
51123414310140120000
614345253343445532
71024214515344152
oct110615262272200
918632717026472
105001133520000
111658a72546952
126893055b68a8
132a37b2b80167
141340b012cad2
158a156ec93d5
hex48c6ac97480

5001133520000 has 160 divisors (see below), whose sum is σ = 12879325968300. Its totient is φ = 1931471360000.

The previous prime is 5001133519997. The next prime is 5001133520011. The reversal of 5001133520000 is 253311005.

It can be written as a sum of positive squares in 10 ways, for example, as 947289530944 + 4053843989056 = 973288^2 + 2013416^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×50011335200003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1242170 + ... + 3397830.

Almost surely, 25001133520000 is an apocalyptic number.

5001133520000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5001133520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439662984150).

5001133520000 is an abundant number, since it is smaller than the sum of its proper divisors (7878192448300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5001133520000 is an equidigital number, since it uses as much as digits as its factorization.

5001133520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155724 (or 2155697 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 5001133520000 its reverse (253311005), we get a palindrome (5001386831005).

The spelling of 5001133520000 in words is "five trillion, one billion, one hundred thirty-three million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3200 3625 3712 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 16000 18125 18560 20000 23200 29000 36250 40000 46400 58000 72500 80000 92800 116000 145000 232000 290000 464000 580000 1160000 2155661 2320000 4311322 8622644 10778305 17245288 21556610 34490576 43113220 53891525 62514169 68981152 86226440 107783050 125028338 137962304 172452880 215566100 250056676 269457625 275924608 312570845 344905760 431132200 500113352 538915250 625141690 689811520 862264400 1000226704 1077830500 1250283380 1347288125 1379623040 1562854225 1724528800 2000453408 2155661000 2500566760 2694576250 3125708450 3449057600 4000906816 4311322000 5001133520 5389152500 6251416900 6898115200 7814271125 8001813632 8622644000 10002267040 10778305000 12502833800 15628542250 17245288000 20004534080 21556610000 25005667600 31257084500 34490576000 39071355625 40009068160 43113220000 50011335200 62514169000 78142711250 86226440000 100022670400 125028338000 156285422500 172452880000 200045340800 250056676000 312570845000 500113352000 625141690000 1000226704000 1250283380000 2500566760000 5001133520000