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1057883395896 = 233214692824943
BaseRepresentation
bin11110110010011101100…
…00111001011100111000
310202010120201020121020200
433121032300321130320
5114313021122132041
62125552424322200
7136300223333205
oct17311660713470
93663521217220
101057883395896
11378711663a68
12151037013360
13789b1373362
14392b7b6acac
151c7b82721b6
hexf64ec39738

1057883395896 has 24 divisors (see below), whose sum is σ = 2865100864080. Its totient is φ = 352627798608.

The previous prime is 1057883395861. The next prime is 1057883395909. The reversal of 1057883395896 is 6985933887501.

1057883395896 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 8 + 8 + 3 + 39 + 589 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10578833958962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 14692824943 = 1057883395896 / (1 + 0 + 5 + 7 + 8 + 8 + 3 + 3 + 9 + 5 + 8 + 9 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7346412400 + ... + 7346412543.

It is an arithmetic number, because the mean of its divisors is an integer number (119379202670).

Almost surely, 21057883395896 is an apocalyptic number.

It is an amenable number.

1057883395896 is an abundant number, since it is smaller than the sum of its proper divisors (1807217468184).

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

1057883395896 is a wasteful number, since it uses less digits than its factorization.

1057883395896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692824955 (or 14692824948 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 1057883395896 in words is "one trillion, fifty-seven billion, eight hundred eighty-three million, three hundred ninety-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14692824943 29385649886 44078474829 58771299772 88156949658 117542599544 132235424487 176313899316 264470848974 352627798632 528941697948 1057883395896