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57145538377 = 11340111232
BaseRepresentation
bin110101001110001000…
…111011011101001001
312110111120102010112101
4311032020323131021
51414013224212002
642130255113401
74062056030104
oct651610733511
9173446363471
1057145538377
1122265191874
12b0a9b12861
135509271b45
142aa173373b
151746d5b587
hexd4e23b749

57145538377 has 12 divisors (see below), whose sum is σ = 57846530484. Its totient is φ = 56448268800.

The previous prime is 57145538341. The next prime is 57145538381. The reversal of 57145538377 is 77383554175.

It can be written as a sum of positive squares in 2 ways, for example, as 29521768761 + 27623769616 = 171819^2 + 166204^2 .

It is not a de Polignac number, because 57145538377 - 27 = 57145538249 is a prime.

It is a super-2 number, since 2×571455383772 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57145538077) 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 11 ways as a sum of consecutive naturals, for example, 50885938 + ... + 50887060.

It is an arithmetic number, because the mean of its divisors is an integer number (4820544207).

Almost surely, 257145538377 is an apocalyptic number.

It is an amenable number.

57145538377 is a deficient number, since it is larger than the sum of its proper divisors (700992107).

57145538377 is an equidigital number, since it uses as much as digits as its factorization.

57145538377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 1637 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 55.

The spelling of 57145538377 in words is "fifty-seven billion, one hundred forty-five million, five hundred thirty-eight thousand, three hundred seventy-seven".

Divisors: 1 113 401 1123 45313 126899 450323 1261129 50886499 142507577 505712729 57145538377