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57256504123 = 71319892711373
BaseRepresentation
bin110101010100110000…
…001110101100111011
312110210022012202220211
4311110300032230323
51414230131112443
642145301331551
74064604153310
oct652460165473
9173708182824
1057256504123
1122311892aa5
12b11b106bb7
135526254950
142ab237ad07
15175197a19d
hexd54c0eb3b

57256504123 has 64 divisors (see below), whose sum is σ = 75343564800. Its totient is φ = 42247941120.

The previous prime is 57256504103. The next prime is 57256504133. The reversal of 57256504123 is 32140565275.

It is not a de Polignac number, because 57256504123 - 221 = 57254406971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57256504103) 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 63 ways as a sum of consecutive naturals, for example, 41701065 + ... + 41702437.

It is an arithmetic number, because the mean of its divisors is an integer number (1177243200).

Almost surely, 257256504123 is an apocalyptic number.

57256504123 is a deficient number, since it is larger than the sum of its proper divisors (18087060677).

57256504123 is a wasteful number, since it uses less digits than its factorization.

57256504123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772.

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 57256504123 in words is "fifty-seven billion, two hundred fifty-six million, five hundred four thousand, one hundred twenty-three".

Divisors: 1 7 13 19 89 91 133 247 271 623 1157 1373 1691 1729 1897 3523 5149 8099 9611 11837 17849 21983 24119 24661 26087 36043 66937 122197 124943 153881 168833 182609 313547 339131 372083 458261 468559 855379 1588561 2194829 2321743 2373917 2604581 3207827 4837079 5957393 7069577 11119927 16252201 30182659 33115387 33859553 41701751 49487039 91904501 211278613 231807709 430500031 629192353 643331507 3013500217 4404346471 8179500589 57256504123