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257142494973888 = 2633148809314221
BaseRepresentation
bin111010011101111010100111…
…000100011100111111000000
31020201110120201121011222121000
4322131322213010130333000
5232201010312203131023
62310521344214132000
7105106634511431616
oct7235724704347700
91221416647158530
10257142494973888
1174a2a5797a3707
1224a0bb31351000
13b063582a5bc74
14476da981956b6
151eadcee1a6243
hexe9dea711cfc0

257142494973888 has 56 divisors (see below), whose sum is σ = 755951316247760. Its totient is φ = 85714164990720.

The previous prime is 257142494973883. The next prime is 257142494973919. The reversal of 257142494973888 is 888379494241752.

257142494973888 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 4 + 2 + 49 + 497 + 3 + 8 + 88 = 666.

It is a super-2 number, since 2×2571424949738882 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257142494973883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74404655383 + ... + 74404658838.

Almost surely, 2257142494973888 is an apocalyptic number.

It is an amenable number.

257142494973888 is an abundant number, since it is smaller than the sum of its proper divisors (498808821273872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257142494973888 is a wasteful number, since it uses less digits than its factorization.

257142494973888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148809314242 (or 148809314226 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 257142494973888 in words is "two hundred fifty-seven trillion, one hundred forty-two billion, four hundred ninety-four million, nine hundred seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 148809314221 297618628442 446427942663 595237256884 892855885326 1190474513768 1339283827989 1785711770652 2380949027536 2678567655978 3571423541304 4017851483967 4761898055072 5357135311956 7142847082608 8035702967934 9523796110144 10714270623912 14285694165216 16071405935868 21428541247824 28571388330432 32142811871736 42857082495648 64285623743472 85714164991296 128571247486944 257142494973888