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12117653828 = 2272925758067
BaseRepresentation
bin10110100100100010…
…01011100101000100
31011021111111121001122
423102101023211010
5144304104410303
65322231213112
7606200233550
oct132221134504
934244447048
1012117653828
115159110745
122422217198
1311b1649887
1482d4c6860
154adc60e38
hex2d244b944

12117653828 has 48 divisors (see below), whose sum is σ = 25168993920. Its totient is φ = 4994605056.

The previous prime is 12117653827. The next prime is 12117653831. The reversal of 12117653828 is 82835671121.

It is not an unprimeable number, because it can be changed into a prime (12117653827) 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, 179651 + ... + 237717.

It is an arithmetic number, because the mean of its divisors is an integer number (524354040).

Almost surely, 212117653828 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 12117653828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584496960).

12117653828 is an abundant number, since it is smaller than the sum of its proper divisors (13051340092).

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

12117653828 is a wasteful number, since it uses less digits than its factorization.

12117653828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58364 (or 58362 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The spelling of 12117653828 in words is "twelve billion, one hundred seventeen million, six hundred fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 257 406 514 812 1028 1799 3598 7196 7453 14906 29812 52171 58067 104342 116134 208684 232268 406469 812938 1625876 1683943 3367886 6735772 11787601 14923219 23575202 29846438 47150404 59692876 104462533 208925066 417850132 432773351 865546702 1731093404 3029413457 6058826914 12117653828