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113590329360 = 24351727840767
BaseRepresentation
bin110100111001010000…
…0101110000000010000
3101212012022020121100120
41221302200232000100
53330113111014420
6124103242550240
711130605603664
oct1516240560020
9355168217316
10113590329360
114419a863762
121a021208380
13a9332a2351
1456d7d768a4
152e4c3e8d40
hex1a7282e010

113590329360 has 80 divisors (see below), whose sum is σ = 372843565056. Its totient is φ = 28508944384.

The previous prime is 113590329253. The next prime is 113590329373. The reversal of 113590329360 is 63923095311.

113590329360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1135903293602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13916304 + ... + 13924463.

Almost surely, 2113590329360 is an apocalyptic number.

113590329360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113590329360 is an abundant number, since it is smaller than the sum of its proper divisors (259253235696).

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

113590329360 is a wasteful number, since it uses less digits than its factorization.

113590329360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27840800 (or 27840794 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The spelling of 113590329360 in words is "one hundred thirteen billion, five hundred ninety million, three hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 27840767 55681534 83522301 111363068 139203835 167044602 222726136 278407670 334089204 417611505 445452272 473293039 556815340 668178408 835223010 946586078 1113630680 1336356816 1419879117 1670446020 1893172156 2227261360 2366465195 2839758234 3340892040 3786344312 4732930390 5679516468 6681784080 7099395585 7572688624 9465860780 11359032936 14198791170 18931721560 22718065872 28397582340 37863443120 56795164680 113590329360