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57738853655264 = 2517106137598631
BaseRepresentation
bin11010010000011010111111…
…10111001010001011100000
321120102210001222121211102002
431020031133313022023200
530031443133013432024
6322444510240543132
715106331422220615
oct1510153767121340
9246383058554362
1057738853655264
1117440a01704321
126586215321aa8
13262a99ac116a2
14103880ad8c50c
156a1dc04606ae
hex34835fdca2e0

57738853655264 has 24 divisors (see below), whose sum is σ = 120360036848688. Its totient is φ = 27171225249280.

The previous prime is 57738853655209. The next prime is 57738853655267. The reversal of 57738853655264 is 46255635883775.

57738853655264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57738853655191 and 57738853655200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57738853655267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53068798772 + ... + 53068799859.

It is an arithmetic number, because the mean of its divisors is an integer number (5015001535362).

Almost surely, 257738853655264 is an apocalyptic number.

It is an amenable number.

57738853655264 is an abundant number, since it is smaller than the sum of its proper divisors (62621183193424).

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

57738853655264 is a wasteful number, since it uses less digits than its factorization.

57738853655264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106137598658 (or 106137598650 counting only the distinct ones).

The product of its digits is 5080320000, while the sum is 74.

The spelling of 57738853655264 in words is "fifty-seven trillion, seven hundred thirty-eight billion, eight hundred fifty-three million, six hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 106137598631 212275197262 424550394524 849100789048 1698201578096 1804339176727 3396403156192 3608678353454 7217356706908 14434713413816 28869426827632 57738853655264