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113355439632 = 2434220739631
BaseRepresentation
bin110100110010010000…
…0101011111000010000
3101211120221020222020000
41221210200223320100
53324122443032012
6124024052250000
711122024224201
oct1514440537020
9354527228200
10113355439632
114408a210616
1219b76610900
13a8c6720546
1456b4ab15a8
152e3699bddc
hex1a6482be10

113355439632 has 100 divisors (see below), whose sum is σ = 328240467456. Its totient is φ = 37767072960.

The previous prime is 113355439609. The next prime is 113355439633. The reversal of 113355439632 is 236934553311.

113355439632 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 5 + 5 + 4 + 3 + 9 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (113355439633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2840457 + ... + 2880087.

Almost surely, 2113355439632 is an apocalyptic number.

113355439632 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 113355439632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164120233728).

113355439632 is an abundant number, since it is smaller than the sum of its proper divisors (214885027824).

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

113355439632 is a wasteful number, since it uses less digits than its factorization.

113355439632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41858 (or 41843 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The spelling of 113355439632 in words is "one hundred thirteen billion, three hundred fifty-five million, four hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2207 4414 6621 8828 13242 17656 19863 26484 35312 39631 39726 52968 59589 79262 79452 105936 118893 119178 158524 158904 178767 237786 238356 317048 317808 356679 357534 475572 476712 634096 713358 715068 951144 953424 1070037 1426716 1430136 1902288 2140074 2853432 2860272 3210111 4280148 5706864 6420222 8560296 12840444 17120592 25680888 51361776 87465617 174931234 262396851 349862468 524793702 699724936 787190553 1049587404 1399449872 1574381106 2099174808 2361571659 3148762212 4198349616 4723143318 6297524424 7084714977 9446286636 12595048848 14169429954 18892573272 28338859908 37785146544 56677719816 113355439632