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57145687005 = 3511244970123
BaseRepresentation
bin110101001110001001…
…011111101111011101
312110111120200200102010
4311032021133233131
51414013243441010
642130302221433
74062060216321
oct651611375735
9173446620363
1057145687005
1122265283500
12b0a9b84879
1355092c46a4
142aa1771981
151746d8a620
hexd4e25fbdd

57145687005 has 48 divisors (see below), whose sum is σ = 100726113600. Its totient is φ = 27644897280.

The previous prime is 57145686989. The next prime is 57145687009. The reversal of 57145687005 is 50078654175.

It is not a de Polignac number, because 57145687005 - 24 = 57145686989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57145687009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 779874 + ... + 849996.

It is an arithmetic number, because the mean of its divisors is an integer number (2098460700).

Almost surely, 257145687005 is an apocalyptic number.

57145687005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57145687005 is a deficient number, since it is larger than the sum of its proper divisors (43580426595).

57145687005 is a wasteful number, since it uses less digits than its factorization.

57145687005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70602 (or 70591 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 57145687005 in words is "fifty-seven billion, one hundred forty-five million, six hundred eighty-seven thousand, five".

Divisors: 1 3 5 11 15 33 55 121 165 363 449 605 1347 1815 2245 4939 6735 14817 24695 54329 70123 74085 162987 210369 271645 350615 771353 814935 1051845 2314059 3856765 8484883 11570295 25454649 31485227 42424415 94455681 127273245 157426135 346337497 472278405 1039012491 1731687485 3809712467 5195062455 11429137401 19048562335 57145687005