Search a number
-
+
12637317376024 = 23114314712270341
BaseRepresentation
bin1011011111100101101011…
…0100000010100000011000
31122202010010101011021111121
42313321122310002200120
53124022211222013044
642513300425135024
72443005335225125
oct267713264024030
948663111137447
1012637317376024
114032502228330
12150124402a474
137089036bab83
1431991404174c
1516dad3ec3984
hexb7e5ad02818

12637317376024 has 64 divisors (see below), whose sum is σ = 26468191918080. Its totient is φ = 5606831664000.

The previous prime is 12637317375997. The next prime is 12637317376051. The reversal of 12637317376024 is 42067371373621.

It is an interprime number because it is at equal distance from previous prime (12637317375997) and next prime (12637317376051).

It is a super-2 number, since 2×126373173760242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4431094 + ... + 6701434.

It is an arithmetic number, because the mean of its divisors is an integer number (413565498720).

Almost surely, 212637317376024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12637317376024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234095959040).

12637317376024 is an abundant number, since it is smaller than the sum of its proper divisors (13830874542056).

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

12637317376024 is a wasteful number, since it uses less digits than its factorization.

12637317376024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271872 (or 2271868 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 52.

The spelling of 12637317376024 in words is "twelve trillion, six hundred thirty-seven billion, three hundred seventeen million, three hundred seventy-six thousand, twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1471 1892 2942 3784 5884 11768 16181 32362 63253 64724 126506 129448 253012 506024 695783 1391566 2270341 2783132 4540682 5566264 9081364 18162728 24973751 49947502 97624663 99895004 195249326 199790008 390498652 780997304 1073871293 2147742586 3339671611 4295485172 6679343222 8590970344 13358686444 26717372888 36736387721 73472775442 143605879273 146945550884 287211758546 293891101768 574423517092 1148847034184 1579664672003 3159329344006 6318658688012 12637317376024