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113188594272 = 25313709127921
BaseRepresentation
bin110100101101010010…
…0001110001001100000
3101211011022022100102020
41221122210032021200
53323302240004042
6123555332221440
711114630114445
oct1513244161140
9354138270366
10113188594272
1144004013196
1219b2a76a880
13a89aca4090
14569a87d9cc
152e26ee13ec
hex1a5a90e260

113188594272 has 96 divisors (see below), whose sum is σ = 320429259360. Its totient is φ = 34777866240.

The previous prime is 113188594271. The next prime is 113188594279. The reversal of 113188594272 is 272495881311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113188594271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820872 + ... + 948792.

It is an arithmetic number, because the mean of its divisors is an integer number (3337804785).

Almost surely, 2113188594272 is an apocalyptic number.

113188594272 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 113188594272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160214629680).

113188594272 is an abundant number, since it is smaller than the sum of its proper divisors (207240665088).

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

113188594272 is a wasteful number, since it uses less digits than its factorization.

113188594272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128656 (or 128648 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 113188594272 in words is "one hundred thirteen billion, one hundred eighty-eight million, five hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 709 1248 1418 2127 2836 4254 5672 8508 9217 11344 17016 18434 22688 27651 34032 36868 55302 68064 73736 110604 127921 147472 221208 255842 294944 383763 442416 511684 767526 884832 1023368 1535052 1662973 2046736 3070104 3325946 4093472 4988919 6140208 6651892 9977838 12280416 13303784 19955676 26607568 39911352 53215136 79822704 90695989 159645408 181391978 272087967 362783956 544175934 725567912 1088351868 1179047857 1451135824 2176703736 2358095714 2902271648 3537143571 4353407472 4716191428 7074287142 8706814944 9432382856 14148574284 18864765712 28297148568 37729531424 56594297136 113188594272