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5111104000 = 295379861
BaseRepresentation
bin1001100001010010…
…10100001000000000
3111012012102222121011
410300221110020000
540431420312000
62203100410304
7240441444562
oct46051241000
914165388534
105111104000
1121930a30a2
12ba7846994
13635b8c5c2
14366b43332
151edaa12ba
hex130a54200

5111104000 has 80 divisors (see below), whose sum is σ = 12745016856. Its totient is φ = 2044416000.

The previous prime is 5111103961. The next prime is 5111104049. The reversal of 5111104000 is 4011115.

It can be written as a sum of positive squares in 4 ways, for example, as 2929840384 + 2181263616 = 54128^2 + 46704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51111040002 = 52246768197632000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24070 + ... + 103930.

Almost surely, 25111104000 is an apocalyptic number.

5111104000 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 5111104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372508428).

5111104000 is an abundant number, since it is smaller than the sum of its proper divisors (7633912856).

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

5111104000 is an frugal number, since it uses more digits than its factorization.

5111104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79894 (or 79868 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 5111104000 is about 71491.9855648170. The cubic root of 5111104000 is about 1722.5489519239.

Adding to 5111104000 its reverse (4011115), we get a palindrome (5115115115).

The spelling of 5111104000 in words is "five billion, one hundred eleven million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 79861 159722 319444 399305 638888 798610 1277776 1597220 1996525 2555552 3194440 3993050 5111104 6388880 7986100 9982625 10222208 12777760 15972200 19965250 20444416 25555520 31944400 39930500 40888832 51111040 63888800 79861000 102222080 127777600 159722000 204444160 255555200 319444000 511110400 638888000 1022220800 1277776000 2555552000 5111104000