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113626971396 = 22346123072
BaseRepresentation
bin110100111010010110…
…0011111110100000100
3101212021212012012210000
41221310230133310010
53330202001041041
6124111032201300
711131532215041
oct1516454376404
9355255165700
10113626971396
1144209510434
121a031539230
13a93aa61623
1456dcb941c8
152e50735bb6
hex1a74b1fd04

113626971396 has 135 divisors (see below), whose sum is σ = 302979633957. Its totient is φ = 37133393760.

The previous prime is 113626971377. The next prime is 113626971433. The reversal of 113626971396 is 693179626311.

The square root of 113626971396 is 337086.

It is a perfect power (a square), and thus also a powerful number.

113626971396 is a `hidden beast` number, since 1 + 1 + 3 + 626 + 9 + 7 + 1 + 3 + 9 + 6 = 666.

113626971396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3694937796 + 109932033600 = 60786^2 + 331560^2 .

It is a super-2 number, since 2×1136269713962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 370120275 + ... + 370120581.

Almost surely, 2113626971396 is an apocalyptic number.

113626971396 is the 337086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113626971396

113626971396 is an abundant number, since it is smaller than the sum of its proper divisors (189352662561).

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

113626971396 is an frugal number, since it uses more digits than its factorization.

113626971396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 373 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 113626971396 in words is "one hundred thirteen billion, six hundred twenty-six million, nine hundred seventy-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 307 324 366 549 614 732 921 1098 1228 1647 1842 2196 2763 3294 3684 3721 4941 5526 6588 7442 8289 9882 11052 11163 14884 16578 18727 19764 22326 24867 33156 33489 37454 44652 49734 56181 66978 74908 94249 99468 100467 112362 133956 168543 188498 200934 224724 282747 301401 337086 376996 401868 505629 565494 602802 674172 848241 1011258 1130988 1142347 1205604 1516887 1696482 2022516 2284694 2544723 3033774 3392964 3427041 4569388 5089446 5749189 6067548 6854082 7634169 10178892 10281123 11498378 13708164 15268338 17247567 20562246 22996756 30536676 30843369 34495134 41124492 51742701 61686738 68990268 92530107 103485402 123373476 155228103 185060214 206970804 310456206 350700529 370120428 465684309 620912412 701401058 931368618 1052101587 1402802116 1862737236 2104203174 3156304761 4208406348 6312609522 9468914283 12625219044 18937828566 28406742849 37875657132 56813485698 113626971396