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118628412768 = 25321921679169
BaseRepresentation
bin110111001111011001…
…1011110110101100000
3102100012102021202112100
41232132303132311200
53420422333202033
6130255214330400
711366502604545
oct1563663366540
9370172252470
10118628412768
1146345712358
121aba84b9a00
13b256ca62a8
145a5510cbcc
153144874513
hex1b9ecded60

118628412768 has 72 divisors (see below), whose sum is σ = 355104804600. Its totient is φ = 37461602304.

The previous prime is 118628412701. The next prime is 118628412779. The reversal of 118628412768 is 867214826811.

118628412768 is a `hidden beast` number, since 1 + 1 + 8 + 628 + 4 + 1 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10834113 + ... + 10845056.

It is an arithmetic number, because the mean of its divisors is an integer number (4932011175).

Almost surely, 2118628412768 is an apocalyptic number.

118628412768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

118628412768 is an abundant number, since it is smaller than the sum of its proper divisors (236476391832).

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

118628412768 is a wasteful number, since it uses less digits than its factorization.

118628412768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21679204 (or 21679193 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 118628412768 in words is "one hundred eighteen billion, six hundred twenty-eight million, four hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 21679169 43358338 65037507 86716676 130075014 173433352 195112521 260150028 346866704 390225042 411904211 520300056 693733408 780450084 823808422 1040600112 1235712633 1560900168 1647616844 2081200224 2471425266 3121800336 3295233688 3707137899 4942850532 6243600672 6590467376 7414275798 9885701064 13180934752 14828551596 19771402128 29657103192 39542804256 59314206384 118628412768