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57997479975 = 35253101144461
BaseRepresentation
bin110110000000111010…
…110101000000100111
312112200221111020200220
4312000322311000213
51422234323324400
642351011135423
74122142305621
oct660072650047
9175627436626
1057997479975
112266207a136
12b2a72a4573
13561390cab6
142b4293dc11
151796a437a0
hexd80eb5027

57997479975 has 48 divisors (see below), whose sum is σ = 98666390304. Its totient is φ = 30047680000.

The previous prime is 57997479941. The next prime is 57997479979.

57997479975 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57997479975 - 223 = 57989091367 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57997479975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57997479979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329245 + ... + 473705.

It is an arithmetic number, because the mean of its divisors is an integer number (2055549798).

Almost surely, 257997479975 is an apocalyptic number.

57997479975 is a deficient number, since it is larger than the sum of its proper divisors (40668910329).

57997479975 is a wasteful number, since it uses less digits than its factorization.

57997479975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144628 (or 144623 counting only the distinct ones).

The product of its digits is 1575296100, while the sum is 78.

The spelling of 57997479975 in words is "fifty-seven billion, nine hundred ninety-seven million, four hundred seventy-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 25 53 75 101 159 265 303 505 795 1325 1515 2525 3975 5353 7575 16059 26765 80295 133825 144461 401475 433383 722305 2166915 3611525 7656433 10834575 14590561 22969299 38282165 43771683 72952805 114846495 191410825 218858415 364764025 574232475 773299733 1094292075 2319899199 3866498665 11599495995 19332493325 57997479975