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12872435814 = 2337110930707
BaseRepresentation
bin10111111110100000…
…11100100001100110
31020020002202111022000
423333100130201212
5202330320421224
65525152550130
7633663620250
oct137720344146
936202674260
1012872435814
115506177607
1225b2b52346
1312a1b29b34
148a1840cd0
155051550c9
hex2ff41c866

12872435814 has 64 divisors (see below), whose sum is σ = 32722444800. Its totient is φ = 3674402784.

The previous prime is 12872435777. The next prime is 12872435857. The reversal of 12872435814 is 41853427821.

12872435814 is a `hidden beast` number, since 1 + 28 + 7 + 2 + 43 + 581 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12872435814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403849 + ... + 434555.

It is an arithmetic number, because the mean of its divisors is an integer number (511288200).

Almost surely, 212872435814 is an apocalyptic number.

12872435814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12872435814 is an abundant number, since it is smaller than the sum of its proper divisors (19850008986).

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

12872435814 is a wasteful number, since it uses less digits than its factorization.

12872435814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31834 (or 31828 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 12872435814 in words is "twelve billion, eight hundred seventy-two million, four hundred thirty-five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1109 2218 3327 6654 7763 9981 15526 19962 23289 29943 30707 46578 59886 61414 69867 92121 139734 184242 209601 214949 276363 419202 429898 552726 644847 829089 1289694 1658178 1934541 3869082 5803623 11607246 34054063 68108126 102162189 204324378 238378441 306486567 476756882 612973134 715135323 919459701 1430270646 1838919402 2145405969 4290811938 6436217907 12872435814