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113418693540 = 22325630103853
BaseRepresentation
bin110100110100001000…
…1111110101110100100
3101211202100021121021100
41221220101332232210
53324240141143130
6124034232120100
711123422663005
oct1515021765644
9354670247240
10113418693540
1144111994179
1219b93836030
13a9068695a9
1456bd2591ac
152e3c2e3c60
hex1a6847eba4

113418693540 has 36 divisors (see below), whose sum is σ = 344036704284. Its totient is φ = 30244984896.

The previous prime is 113418693503. The next prime is 113418693547. The reversal of 113418693540 is 45396814311.

113418693540 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 18 + 6 + 93 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75330487296 + 38088206244 = 274464^2 + 195162^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (113418693547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315051747 + ... + 315052106.

It is an arithmetic number, because the mean of its divisors is an integer number (9556575119).

Almost surely, 2113418693540 is an apocalyptic number.

113418693540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113418693540 is an abundant number, since it is smaller than the sum of its proper divisors (230618010744).

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

113418693540 is a wasteful number, since it uses less digits than its factorization.

113418693540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630103868 (or 630103863 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 113418693540 in words is "one hundred thirteen billion, four hundred eighteen million, six hundred ninety-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 630103853 1260207706 1890311559 2520415412 3150519265 3780623118 5670934677 6301038530 7561246236 9451557795 11341869354 12602077060 18903115590 22683738708 28354673385 37806231180 56709346770 113418693540