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113355089472 = 2634096912089
BaseRepresentation
bin110100110010001111…
…1010110011001000000
3101211120220121011220010
41221210133112121000
53324122400330342
6124024040544520
711122021235262
oct1514437263100
9354526534803
10113355089472
1144089aa1529
1219b76482140
13a8c662a051
1456b4a1db32
152e3692d29c
hex1a647d6640

113355089472 has 112 divisors (see below), whose sum is σ = 301231198400. Its totient is φ = 37620080640.

The previous prime is 113355089467. The next prime is 113355089489. The reversal of 113355089472 is 274980553311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54261804 + ... + 54263892.

Almost surely, 2113355089472 is an apocalyptic number.

113355089472 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 113355089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150615599200).

113355089472 is an abundant number, since it is smaller than the sum of its proper divisors (187876108928).

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

113355089472 is a wasteful number, since it uses less digits than its factorization.

113355089472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 113355089472 in words is "one hundred thirteen billion, three hundred fifty-five million, eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 409 691 818 1227 1382 1636 2073 2089 2454 2764 3272 4146 4178 4908 5528 6267 6544 8292 8356 9816 11056 12534 13088 16584 16712 19632 22112 25068 26176 33168 33424 39264 44224 50136 66336 66848 78528 100272 132672 133696 200544 282619 401088 565238 847857 854401 1130476 1443499 1695714 1708802 2260952 2563203 2886998 3391428 3417604 4330497 4521904 5126406 5773996 6782856 6835208 8660994 9043808 10252812 11547992 13565712 13670416 17321988 18087616 20505624 23095984 27131424 27340832 34643976 41011248 46191968 54262848 54681664 69287952 82022496 92383936 138575904 164044992 277151808 590391091 1180782182 1771173273 2361564364 3542346546 4723128728 7084693092 9446257456 14169386184 18892514912 28338772368 37785029824 56677544736 113355089472