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113329715328 = 273410930721
BaseRepresentation
bin110100110001011111…
…0100011100010000000
3101211112010212001010000
41221202332203202000
53324044401342303
6124021333040000
711121262454214
oct1514276434200
9354463761100
10113329715328
1144076740565
1219b69a86000
13a8c12b476b
1456b14d6944
152e345b9da3
hex1a62fa3880

113329715328 has 80 divisors (see below), whose sum is σ = 337267427310. Its totient is φ = 37776568320.

The previous prime is 113329715309. The next prime is 113329715329. The reversal of 113329715328 is 823517923311.

113329715328 is a `hidden beast` number, since 1 + 1 + 33 + 297 + 1 + 5 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96701097024 + 16628618304 = 310968^2 + 128952^2 .

It is not an unprimeable number, because it can be changed into a prime (113329715329) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5454993 + ... + 5475728.

Almost surely, 2113329715328 is an apocalyptic number.

113329715328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113329715328 is an abundant number, since it is smaller than the sum of its proper divisors (223937711982).

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

113329715328 is an equidigital number, since it uses as much as digits as its factorization.

113329715328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930747 (or 10930726 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 113329715328 in words is "one hundred thirteen billion, three hundred twenty-nine million, seven hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 10930721 21861442 32792163 43722884 65584326 87445768 98376489 131168652 174891536 196752978 262337304 295129467 349783072 393505956 524674608 590258934 699566144 787011912 885388401 1049349216 1180517868 1399132288 1574023824 1770776802 2098698432 2361035736 3148047648 3541553604 4197396864 4722071472 6296095296 7083107208 9444142944 12592190592 14166214416 18888285888 28332428832 37776571776 56664857664 113329715328