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12438408880632 = 23371187343318169
BaseRepresentation
bin1011010100000000101011…
…1100010110000111111000
31122001002201002201202211210
42311000022330112013320
53112242330133140012
642242043125523120
72422434240012240
oct265001274260770
948032632652753
1012438408880632
113a661105a9759
12148a791b734a0
136c2c24566917
14310044ccab20
151688417a823c
hexb500af161f8

12438408880632 has 128 divisors (see below), whose sum is σ = 35580569587200. Its totient is φ = 3549607446528.

The previous prime is 12438408880631. The next prime is 12438408880633. The reversal of 12438408880632 is 23608880483421.

It is an interprime number because it is at equal distance from previous prime (12438408880631) and next prime (12438408880633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438408880631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684586044 + ... + 684604212.

It is an arithmetic number, because the mean of its divisors is an integer number (277973199900).

Almost surely, 212438408880632 is an apocalyptic number.

12438408880632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12438408880632 is an abundant number, since it is smaller than the sum of its proper divisors (23142160706568).

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

12438408880632 is a wasteful number, since it uses less digits than its factorization.

12438408880632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22805 (or 22801 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 12438408880632 in words is "twelve trillion, four hundred thirty-eight billion, four hundred eight million, eight hundred eighty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1187 2374 3433 3561 4748 6866 7122 8309 9496 10299 13732 14244 16618 18169 20598 24031 24927 27464 28488 33236 36338 41196 48062 49854 54507 66472 72093 72676 82392 96124 99708 109014 127183 144186 145352 192248 199416 218028 254366 288372 381549 436056 508732 576744 763098 1017464 1526196 3052392 4074971 8149942 12224913 16299884 21566603 24449826 28524797 32599768 43133206 48899652 57049594 62374177 64699809 85574391 86266412 97799304 114099188 124748354 129399618 150966221 171148782 172532824 187122531 228198376 249496708 258799236 301932442 342297564 374245062 436619239 452898663 498993416 517598472 603864884 684595128 748490124 873238478 905797326 1207729768 1309857717 1496980248 1746476956 1811594652 2619715434 3492953912 3623189304 5239430868 10478861736 74038148099 148076296198 222114444297 296152592396 444228888594 518267036693 592305184792 888457777188 1036534073386 1554801110079 1776915554376 2073068146772 3109602220158 4146136293544 6219204440316 12438408880632