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123616646132 = 22737432774909
BaseRepresentation
bin111001100100000100…
…0000101001111110100
3102211002001112021022012
41303020020011033310
54011131330134012
6132442205423352
711634223104140
oct1631010051764
9384061467265
10123616646132
1148475412971
121bb5ab6ab58
13b870575175
145da97ca220
153337754622
hex1cc82053f4

123616646132 has 48 divisors (see below), whose sum is σ = 259820373120. Its totient is φ = 50347930752.

The previous prime is 123616646117. The next prime is 123616646141. The reversal of 123616646132 is 231646616321.

123616646132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1236166461322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123616646132.

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, 1342907 + ... + 1432002.

It is an arithmetic number, because the mean of its divisors is an integer number (5412924440).

Almost surely, 2123616646132 is an apocalyptic number.

It is an amenable number.

123616646132 is an abundant number, since it is smaller than the sum of its proper divisors (136203726988).

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

123616646132 is a wasteful number, since it uses less digits than its factorization.

123616646132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775000 (or 2774998 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The spelling of 123616646132 in words is "one hundred twenty-three billion, six hundred sixteen million, six hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 43 74 86 148 172 259 301 518 602 1036 1204 1591 3182 6364 11137 22274 44548 2774909 5549818 11099636 19424363 38848726 77697452 102671633 119321087 205343266 238642174 410686532 477284348 718701431 835247609 1437402862 1670495218 2874805724 3340990436 4414880219 8829760438 17659520876 30904161533 61808323066 123616646132