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5014132000 = 25531916563
BaseRepresentation
bin1001010101101110…
…11001010100100000
3110221102222022000121
410222313121110200
540232104211000
62145314130024
7235153263433
oct45267312440
913842868017
105014132000
11214338a649
12b7b280914
1361ba69117
14357cdd81a
151e52e8b1a
hex12add9520

5014132000 has 96 divisors (see below), whose sum is σ = 12386110464. Its totient is φ = 1994848000.

The previous prime is 5014131989. The next prime is 5014132009. The reversal of 5014132000 is 2314105.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5014132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760719 + ... + 767281.

It is an arithmetic number, because the mean of its divisors is an integer number (129021984).

Almost surely, 25014132000 is an apocalyptic number.

5014132000 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 5014132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193055232).

5014132000 is an abundant number, since it is smaller than the sum of its proper divisors (7371978464).

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

5014132000 is a wasteful number, since it uses less digits than its factorization.

5014132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5014132000 is about 70810.5359392231. The cubic root of 5014132000 is about 1711.5854565934.

Adding to 5014132000 its reverse (2314105), we get a palindrome (5016446105).

The spelling of 5014132000 in words is "five billion, fourteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 382 400 500 764 800 955 1000 1528 1910 2000 3056 3820 4000 4775 6112 6563 7640 9550 13126 15280 19100 23875 26252 30560 32815 38200 47750 52504 65630 76400 95500 105008 131260 152800 164075 191000 210016 262520 328150 382000 525040 656300 764000 820375 1050080 1253533 1312600 1640750 2507066 2625200 3281500 5014132 5250400 6267665 6563000 10028264 12535330 13126000 20056528 25070660 26252000 31338325 40113056 50141320 62676650 100282640 125353300 156691625 200565280 250706600 313383250 501413200 626766500 1002826400 1253533000 2507066000 5014132000