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57153099681 = 32411392115281
BaseRepresentation
bin110101001110100101…
…110001011110100001
312110112002122021200200
4311032211301132201
51414022143142211
642131125135413
74062210221526
oct651645613641
9173462567620
1057153099681
1122269486787
12b0b055a569
13550a9bb6a2
142aa274114d
151747851b56
hexd4e9717a1

57153099681 has 48 divisors (see below), whose sum is σ = 85596288960. Its totient is φ = 36723456000.

The previous prime is 57153099677. The next prime is 57153099683. The reversal of 57153099681 is 18699035175.

57153099681 is a `hidden beast` number, since 571 + 5 + 3 + 0 + 9 + 9 + 68 + 1 = 666.

It is not a de Polignac number, because 57153099681 - 22 = 57153099677 is a prime.

It is a super-2 number, since 2×571530996812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57153099683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10819761 + ... + 10825041.

It is an arithmetic number, because the mean of its divisors is an integer number (1783256020).

Almost surely, 257153099681 is an apocalyptic number.

It is an amenable number.

57153099681 is a deficient number, since it is larger than the sum of its proper divisors (28443189279).

57153099681 is a wasteful number, since it uses less digits than its factorization.

57153099681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 57153099681 in words is "fifty-seven billion, one hundred fifty-three million, ninety-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 41 123 139 211 369 417 633 1251 1899 5281 5699 8651 15843 17097 25953 29329 47529 51291 77859 87987 216521 263961 649563 734059 1114291 1202489 1948689 2202177 3342873 3607467 6606531 10028619 10822401 30096419 45685931 90289257 137057793 154886449 270867771 411173379 464659347 1393978041 6350344409 19051033227 57153099681