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113513738724 = 223223322412
BaseRepresentation
bin110100110110111110…
…0100011000111100100
3101211222222010101202100
41221231330203013210
53324434004114344
6124051505212100
711125655600451
oct1515574430744
9354888111670
10113513738724
1144160601011
1219bbb631030
13a920466a49
1456cbb1a828
152e4581a569
hex1a6df231e4

113513738724 has 81 divisors (see below), whose sum is σ = 289374988539. Its totient is φ = 37519188480.

The previous prime is 113513738711. The next prime is 113513738729. The reversal of 113513738724 is 427837315311.

The square root of 113513738724 is 336918.

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

113513738724 is a `hidden beast` number, since 1 + 135 + 137 + 387 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327248100 + 113186490624 = 18090^2 + 336432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113513738724.

It is not an unprimeable number, because it can be changed into a prime (113513738729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 471011244 + ... + 471011484.

Almost surely, 2113513738724 is an apocalyptic number.

113513738724 is the 336918-th square number.

It is an amenable number.

113513738724 is an abundant number, since it is smaller than the sum of its proper divisors (175861249815).

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

113513738724 is an equidigital number, since it uses as much as digits as its factorization.

113513738724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 479 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 113513738724 in words is "one hundred thirteen billion, five hundred thirteen million, seven hundred thirty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 233 241 466 482 699 723 932 964 1398 1446 2097 2169 2796 2892 4194 4338 8388 8676 54289 56153 58081 108578 112306 116162 162867 168459 174243 217156 224612 232324 325734 336918 348486 488601 505377 522729 651468 673836 696972 977202 1010754 1045458 1954404 2021508 2090916 13083649 13532873 26167298 27065746 39250947 40598619 52334596 54131492 78501894 81197238 117752841 121795857 157003788 162394476 235505682 243591714 471011364 487183428 3153159409 6306318818 9459478227 12612637636 18918956454 28378434681 37837912908 56756869362 113513738724