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57640196052 = 22331738393677
BaseRepresentation
bin110101101011100111…
…111001011111010100
312111210001012100022000
4311223213321133110
51421021342233202
642251325235300
74110243403545
oct655347713724
9174701170260
1057640196052
112249942a46a
12b207702b30
1355878a63aa
142b0b2d84cc
1517754bb91c
hexd6b9f97d4

57640196052 has 96 divisors (see below), whose sum is σ = 150521414400. Its totient is φ = 19074381696.

The previous prime is 57640196027. The next prime is 57640196083. The reversal of 57640196052 is 25069104675.

57640196052 is a `hidden beast` number, since 576 + 4 + 0 + 19 + 60 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57640195989 and 57640196007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15674038 + ... + 15677714.

It is an arithmetic number, because the mean of its divisors is an integer number (1567931400).

Almost surely, 257640196052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57640196052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75260707200).

57640196052 is an abundant number, since it is smaller than the sum of its proper divisors (92881218348).

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

57640196052 is a wasteful number, since it uses less digits than its factorization.

57640196052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 57640196052 in words is "fifty-seven billion, six hundred forty million, one hundred ninety-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 839 1038 1557 1678 2076 2517 3114 3356 3677 4671 5034 6228 7354 7551 9342 10068 11031 14708 15102 18684 22062 22653 30204 33093 44124 45306 66186 90612 99279 132372 145147 198558 290294 397116 435441 580588 636121 870882 1272242 1306323 1741764 1908363 2544484 2612646 3085003 3816726 3918969 5225292 5725089 6170006 7633452 7837938 9255009 11450178 12340012 15675876 17175267 18510018 22900356 27765027 34350534 37020036 55530054 68701068 83295081 111060108 166590162 333180324 533705519 1067411038 1601116557 2134822076 3202233114 4803349671 6404466228 9606699342 14410049013 19213398684 28820098026 57640196052