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12117255416 = 2372341922453
BaseRepresentation
bin10110100100011111…
…01010010011111000
31011021110202100112122
423102033222103320
5144304004133131
65322214500412
7606163654160
oct132217522370
934243670478
1012117255416
115158969382
122422064708
1311b153a426
1482d4215a0
154adbd2d7b
hex2d23ea4f8

12117255416 has 64 divisors (see below), whose sum is σ = 27160358400. Its totient is φ = 4955246208.

The previous prime is 12117255401. The next prime is 12117255421. The reversal of 12117255416 is 61455271121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528446 + ... + 550898.

It is an arithmetic number, because the mean of its divisors is an integer number (424380600).

Almost surely, 212117255416 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 12117255416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13580179200).

12117255416 is an abundant number, since it is smaller than the sum of its proper divisors (15043102984).

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

12117255416 is a wasteful number, since it uses less digits than its factorization.

12117255416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22908 (or 22904 counting only the distinct ones).

The product of its digits is 16800, while the sum is 35.

The spelling of 12117255416 in words is "twelve billion, one hundred seventeen million, two hundred fifty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 419 644 838 1288 1676 2933 3352 5866 9637 11732 19274 22453 23464 38548 44906 67459 77096 89812 134918 157171 179624 269836 314342 516419 539672 628684 1032838 1257368 2065676 3614933 4131352 7229866 9407807 14459732 18815614 28919464 37631228 65854649 75262456 131709298 216379561 263418596 432759122 526837192 865518244 1514656927 1731036488 3029313854 6058627708 12117255416