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112634410064 = 24116017191481
BaseRepresentation
bin110100011100110001…
…0001011010001010000
3101202201200111212121012
41220321202023101100
53321133402110224
6123424334150052
711065120455161
oct1507142132120
9352650455535
10112634410064
114384a208410
12199b5052328
13a81022a227
145647021768
152de352380e
hex1a3988b450

112634410064 has 80 divisors (see below), whose sum is σ = 238957205760. Its totient is φ = 51006720000.

The previous prime is 112634410019. The next prime is 112634410069. The reversal of 112634410064 is 460014436211.

It is a self number, because there is not a number n which added to its sum of digits gives 112634410064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112634410069) 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, 76052204 + ... + 76053684.

It is an arithmetic number, because the mean of its divisors is an integer number (2986965072).

Almost surely, 2112634410064 is an apocalyptic number.

It is an amenable number.

112634410064 is an abundant number, since it is smaller than the sum of its proper divisors (126322795696).

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

112634410064 is a wasteful number, since it uses less digits than its factorization.

112634410064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 112634410064 its reverse (460014436211), we get a palindrome (572648846275).

The spelling of 112634410064 in words is "one hundred twelve billion, six hundred thirty-four million, four hundred ten thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 601 719 1202 1438 1481 2404 2876 2962 4808 5752 5924 6611 7909 9616 11504 11848 13222 15818 16291 23696 26444 31636 32582 52888 63272 65164 105776 126544 130328 260656 432119 864238 890081 1064839 1728476 1780162 2129678 3456952 3560324 4259356 4753309 6913904 7120648 8518712 9506618 9790891 11713229 14241296 17037424 19013236 19581782 23426458 38026472 39163564 46852916 76052944 78327128 93705832 156654256 187411664 639968239 1279936478 2559872956 5119745912 7039650629 10239491824 14079301258 28158602516 56317205032 112634410064