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113457915504 = 24322397353161
BaseRepresentation
bin110100110101010011…
…1100110011001110000
3101211212002002021200200
41221222213212121300
53324330211244004
6124042152515200
711124410240523
oct1515247463160
9354762067620
10113457915504
114413204321a
1219ba49abb00
13a911a1cc5b
1456c4548bba
152e40990239
hex1a6a9e6670

113457915504 has 120 divisors (see below), whose sum is σ = 334746720672. Its totient is φ = 35801948160.

The previous prime is 113457915499. The next prime is 113457915509. The reversal of 113457915504 is 405519754311.

113457915504 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 5 + 7 + 91 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (113457915499) and next prime (113457915509).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113457915504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113457915509) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 144684 + ... + 497844.

Almost surely, 2113457915504 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 113457915504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167373360336).

113457915504 is an abundant number, since it is smaller than the sum of its proper divisors (221288805168).

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

113457915504 is a wasteful number, since it uses less digits than its factorization.

113457915504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353295 (or 353286 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 113457915504 in words is "one hundred thirteen billion, four hundred fifty-seven million, nine hundred fifteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 97 138 144 184 194 207 276 291 368 388 414 552 582 776 828 873 1104 1164 1552 1656 1746 2231 2328 3312 3492 4462 4656 6693 6984 8924 13386 13968 17848 20079 26772 35696 40158 53544 80316 107088 160632 321264 353161 706322 1059483 1412644 2118966 2825288 3178449 4237932 5650576 6356898 8122703 8475864 12713796 16245406 16951728 24368109 25427592 32490812 34256617 48736218 50855184 64981624 68513234 73104327 97472436 102769851 129963248 137026468 146208654 194944872 205539702 274052936 292417308 308309553 389889744 411079404 548105872 584834616 616619106 787902191 822158808 1169669232 1233238212 1575804382 1644317616 2363706573 2466476424 3151608764 4727413146 4932952848 6303217528 7091119719 9454826292 12606435056 14182239438 18909652584 28364478876 37819305168 56728957752 113457915504