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57194472960 = 293254752817
BaseRepresentation
bin110101010001000011…
…100110011000000000
312110121222111021011100
4311101003212120000
51414113241113320
642135204014400
74063221666402
oct652103463000
9173558437140
1057194472960
112228a875079
12b102391400
135516446311
142aa8030b72
15174b2c5790
hexd510e6600

57194472960 has 240 divisors, whose sum is σ = 202298855616. Its totient is φ = 14927069184.

The previous prime is 57194472949. The next prime is 57194472967. The reversal of 57194472960 is 6927449175.

57194472960 is a `hidden beast` number, since 571 + 9 + 4 + 4 + 7 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 57194472897 and 57194472906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57194472967) 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 23 ways as a sum of consecutive naturals, for example, 1056472 + ... + 1109288.

Almost surely, 257194472960 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 57194472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101149427808).

57194472960 is an abundant number, since it is smaller than the sum of its proper divisors (145104382656).

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

57194472960 is a wasteful number, since it uses less digits than its factorization.

57194472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52893 (or 52874 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 57194472960 in words is "fifty-seven billion, one hundred ninety-four million, four hundred seventy-two thousand, nine hundred sixty".