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112479893736 = 23373744340847
BaseRepresentation
bin110100011000001010…
…0101111100011101000
3101202022220202122001020
41220300110233203220
53320324323044421
6123401134252440
711061233215230
oct1506024574350
9352286678036
10112479893736
114377aa70a71
1219971357120
13a7b7209752
1456306bccc0
152dd4ba0dc6
hex1a3052f8e8

112479893736 has 128 divisors (see below), whose sum is σ = 330809978880. Its totient is φ = 31197194496.

The previous prime is 112479893731. The next prime is 112479893741. The reversal of 112479893736 is 637398974211.

It is an interprime number because it is at equal distance from previous prime (112479893731) and next prime (112479893741).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 112479893736.

It is not an unprimeable number, because it can be changed into a prime (112479893731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2733265 + ... + 2774111.

It is an arithmetic number, because the mean of its divisors is an integer number (2584452960).

Almost surely, 2112479893736 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 112479893736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165404989440).

112479893736 is an abundant number, since it is smaller than the sum of its proper divisors (218330085144).

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

112479893736 is a wasteful number, since it uses less digits than its factorization.

112479893736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41343 (or 41339 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The spelling of 112479893736 in words is "one hundred twelve billion, four hundred seventy-nine million, eight hundred ninety-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 443 444 518 777 886 888 1036 1329 1554 1772 2072 2658 3101 3108 3544 5316 6202 6216 9303 10632 12404 16391 18606 24808 32782 37212 40847 49173 65564 74424 81694 98346 114737 122541 131128 163388 196692 229474 245082 285929 326776 344211 393384 458948 490164 571858 688422 857787 917896 980328 1143716 1376844 1511339 1715574 2287432 2753688 3022678 3431148 4534017 6045356 6862296 9068034 10579373 12090712 18095221 18136068 21158746 31738119 36190442 36272136 42317492 54285663 63476238 72380884 84634984 108571326 126666547 126952476 144761768 217142652 253333094 253904952 379999641 434285304 506666188 669523177 759999282 1013332376 1339046354 1519998564 2008569531 2678092708 3039997128 4017139062 4686662239 5356185416 8034278124 9373324478 14059986717 16068556248 18746648956 28119973434 37493297912 56239946868 112479893736