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5685468672 = 29313284729
BaseRepresentation
bin1010100101110000…
…10101111000000000
3112200020012201210210
411102320111320000
543120434444142
62340055154120
7260614454262
oct52270257000
915606181723
105685468672
112458331844
121128075940
136c7b80a60
143bd135b32
1523420849c
hex152e15e00

5685468672 has 80 divisors (see below), whose sum is σ = 16311612240. Its totient is φ = 1749368832.

The previous prime is 5685468653. The next prime is 5685468673. The reversal of 5685468672 is 2768645865.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685468673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122397 + ... + 162332.

It is an arithmetic number, because the mean of its divisors is an integer number (203895153).

Almost surely, 25685468672 is an apocalyptic number.

5685468672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5685468672 is an abundant number, since it is smaller than the sum of its proper divisors (10626143568).

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

5685468672 is a wasteful number, since it uses less digits than its factorization.

5685468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284763 (or 284747 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The square root of 5685468672 is about 75402.0468687688. The cubic root of 5685468672 is about 1784.7967109150.

The spelling of 5685468672 in words is "five billion, six hundred eighty-five million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 284729 569458 854187 1138916 1708374 2277832 3416748 3701477 4555664 6833496 7402954 9111328 11104431 13666992 14805908 18222656 22208862 27333984 29611816 36445312 44417724 54667968 59223632 72890624 88835448 109335936 118447264 145781248 177670896 218671872 236894528 355341792 437343744 473789056 710683584 947578112 1421367168 1895156224 2842734336 5685468672