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113257304832 = 28373429943
BaseRepresentation
bin110100101111010101…
…0010101001100000000
3101211100002121012120210
41221132222111030000
53323422332223312
6124010225034120
711116423131000
oct1513652251400
9354302535523
10113257304832
1144039883481
1219b49785940
13a8ac2b0a09
1456a5a48000
152e2d064e3c
hex1a5ea95300

113257304832 has 144 divisors (see below), whose sum is σ = 351522214400. Its totient is φ = 32359154688.

The previous prime is 113257304827. The next prime is 113257304861. The reversal of 113257304832 is 238403752311.

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, 48453 + ... + 478395.

Almost surely, 2113257304832 is an apocalyptic number.

113257304832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113257304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175761107200).

113257304832 is an abundant number, since it is smaller than the sum of its proper divisors (238264909568).

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

113257304832 is an frugal number, since it uses more digits than its factorization.

113257304832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429983 (or 429955 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 113257304832 in words is "one hundred thirteen billion, two hundred fifty-seven million, three hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2058 2352 2688 2744 3136 4116 4704 5376 5488 6272 8232 9408 10976 12544 16464 18816 21952 32928 37632 43904 65856 87808 131712 263424 429943 859886 1289829 1719772 2579658 3009601 3439544 5159316 6019202 6879088 9028803 10318632 12038404 13758176 18057606 20637264 21067207 24076808 27516352 36115212 41274528 42134414 48153616 55032704 63201621 72230424 82549056 84268828 96307232 110065408 126403242 144460848 147470449 165098112 168537656 192614464 252806484 288921696 294940898 330196224 337075312 385228928 442411347 505612968 577843392 589881796 674150624 770457856 884822694 1011225936 1155686784 1179763592 1348301248 1769645388 2022451872 2311373568 2359527184 2696602496 3539290776 4044903744 4719054368 5393204992 7078581552 8089807488 9438108736 14157163104 16179614976 18876217472 28314326208 37752434944 56628652416 113257304832