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113427492768 = 25323623108707
BaseRepresentation
bin110100110100011001…
…1100010111110100000
3101211202221211122112200
41221220303202332200
53324244414232033
6124035144453200
711123560531512
oct1515063427640
9354687748480
10113427492768
1144116954167
1219b9677a200
13a90862a735
1456c04a9bb2
152e3ce81013
hex1a68ce2fa0

113427492768 has 72 divisors (see below), whose sum is σ = 322651431648. Its totient is φ = 37798380672.

The previous prime is 113427492721. The next prime is 113427492793. The reversal of 113427492768 is 867294724311.

113427492768 is a `hidden beast` number, since 113 + 427 + 49 + 2 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1134274927682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989071 + ... + 1097777.

It is an arithmetic number, because the mean of its divisors is an integer number (4481269884).

Almost surely, 2113427492768 is an apocalyptic number.

113427492768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113427492768 is an abundant number, since it is smaller than the sum of its proper divisors (209223938880).

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

113427492768 is a wasteful number, since it uses less digits than its factorization.

113427492768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112346 (or 112335 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 113427492768 in words is "one hundred thirteen billion, four hundred twenty-seven million, four hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3623 7246 10869 14492 21738 28984 32607 43476 57968 65214 86952 108707 115936 130428 173904 217414 260856 326121 347808 434828 521712 652242 869656 978363 1043424 1304484 1739312 1956726 2608968 3478624 3913452 5217936 7826904 10435872 15653808 31307616 393845461 787690922 1181536383 1575381844 2363072766 3150763688 3544609149 4726145532 6301527376 7089218298 9452291064 12603054752 14178436596 18904582128 28356873192 37809164256 56713746384 113427492768