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113926849176 = 23375337334303
BaseRepresentation
bin110101000011010010…
…0011100001010011000
3101220001202110120202110
41222012210130022120
53331310233133201
6124200503432320
711142133145220
oct1520644341230
9356052416673
10113926849176
1144352811008
121a0b5a556a0
13a987c188ba
14572a935080
152e6bc1d6d6
hex1a8691c298

113926849176 has 128 divisors (see below), whose sum is σ = 332545720320. Its totient is φ = 31849818624.

The previous prime is 113926849133. The next prime is 113926849177. The reversal of 113926849176 is 671948629311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113926849177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3304041 + ... + 3338343.

It is an arithmetic number, because the mean of its divisors is an integer number (2598013440).

Almost surely, 2113926849176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113926849176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166272860160).

113926849176 is an abundant number, since it is smaller than the sum of its proper divisors (218618871144).

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

113926849176 is a wasteful number, since it uses less digits than its factorization.

113926849176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34745 (or 34741 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The spelling of 113926849176 in words is "one hundred thirteen billion, nine hundred twenty-six million, eight hundred forty-nine thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 373 424 636 742 746 1113 1119 1272 1484 1492 2226 2238 2611 2968 2984 4452 4476 5222 7833 8904 8952 10444 15666 19769 20888 31332 34303 39538 59307 62664 68606 79076 102909 118614 137212 138383 158152 205818 237228 240121 274424 276766 411636 415149 474456 480242 553532 720363 823272 830298 960484 1107064 1440726 1660596 1818059 1920968 2881452 3321192 3636118 5454177 5762904 7272236 10908354 12726413 12795019 14544472 21816708 25452826 25590038 38179239 38385057 43633416 50905652 51180076 76358478 76770114 89565133 101811304 102360152 152716956 153540228 179130266 268695399 305433912 307080456 358260532 537390798 678136007 716521064 1074781596 1356272014 2034408021 2149563192 2712544028 4068816042 4746952049 5425088056 8137632084 9493904098 14240856147 16275264168 18987808196 28481712294 37975616392 56963424588 113926849176