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113272456960 = 285136807239
BaseRepresentation
bin110100101111110010…
…0001000011100000000
3101211101011010000101201
41221133210020130000
53323440222110320
6124011525510544
711116665666205
oct1513744103400
9354334100351
10113272456960
11440473924a3
1219b52872454
13a8b2487680
1456a7a6dcac
152e2e55970a
hex1a5f908700

113272456960 has 72 divisors (see below), whose sum is σ = 292193969760. Its totient is φ = 41823670272.

The previous prime is 113272456937. The next prime is 113272456961. The reversal of 113272456960 is 69654272311.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113272456960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113272456961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3386980 + ... + 3420259.

It is an arithmetic number, because the mean of its divisors is an integer number (4058249580).

Almost surely, 2113272456960 is an apocalyptic number.

113272456960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113272456960 is an abundant number, since it is smaller than the sum of its proper divisors (178921512800).

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

113272456960 is an equidigital number, since it uses as much as digits as its factorization.

113272456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807273 (or 6807259 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 113272456960 in words is "one hundred thirteen billion, two hundred seventy-two million, four hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 6807239 13614478 27228956 34036195 54457912 68072390 88494107 108915824 136144780 176988214 217831648 272289560 353976428 435663296 442470535 544579120 707952856 871326592 884941070 1089158240 1415905712 1742653184 1769882140 2178316480 2831811424 3539764280 4356632960 5663622848 7079528560 8713265920 11327245696 14159057120 22654491392 28318114240 56636228480 113272456960