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5106553056 = 2532111611917
BaseRepresentation
bin1001100000101111…
…11101000011100000
3111011212212202212200
410300113331003200
540424234144211
62202415053200
7240354661533
oct46027750340
914155782780
105106553056
112190574990
12ba6211200
13634c58037
143662baa1a
151ed4a2b56
hex1305fd0e0

5106553056 has 72 divisors (see below), whose sum is σ = 15841930104. Its totient is φ = 1547439360.

The previous prime is 5106553037. The next prime is 5106553087. The reversal of 5106553056 is 6503556015.

5106553056 is a `hidden beast` number, since 5 + 10 + 65 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51065530562 = 52153768227485878272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5106553056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802791 + ... + 809126.

It is an arithmetic number, because the mean of its divisors is an integer number (220026807).

Almost surely, 25106553056 is an apocalyptic number.

It is an amenable number.

5106553056 is an abundant number, since it is smaller than the sum of its proper divisors (10735377048).

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

5106553056 is a wasteful number, since it uses less digits than its factorization.

5106553056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611944 (or 1611933 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 5106553056 is about 71460.1501257869. The cubic root of 5106553056 is about 1722.0375456693.

The spelling of 5106553056 in words is "five billion, one hundred six million, five hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 1611917 3223834 4835751 6447668 9671502 12895336 14507253 17731087 19343004 25790672 29014506 35462174 38686008 51581344 53193261 58029012 70924348 77372016 106386522 116058024 141848696 154744032 159579783 212773044 232116048 283697392 319159566 425546088 464232096 567394784 638319132 851092176 1276638264 1702184352 2553276528 5106553056