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123793860420 = 223251036677123
BaseRepresentation
bin111001101001010110…
…0000110011101000100
3102211112101222200121100
41303102230012131010
54012012212013140
6132511540020100
711641504310646
oct1632254063504
9384471880540
10123793860420
114855645265a
121bbaa391630
13b89b1b20a9
145dc515a896
1533480ac530
hex1cd2b06744

123793860420 has 72 divisors (see below), whose sum is σ = 379153809216. Its totient is φ = 32691189312.

The previous prime is 123793860397. The next prime is 123793860433. The reversal of 123793860420 is 24068397321.

123793860420 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 9 + 38 + 604 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3320022 + ... + 3357101.

It is an arithmetic number, because the mean of its divisors is an integer number (5266025128).

Almost surely, 2123793860420 is an apocalyptic number.

123793860420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123793860420 is an abundant number, since it is smaller than the sum of its proper divisors (255359948796).

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

123793860420 is a wasteful number, since it uses less digits than its factorization.

123793860420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677241 (or 6677236 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 123793860420 in words is "one hundred twenty-three billion, seven hundred ninety-three million, eight hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 6677123 13354246 20031369 26708492 33385615 40062738 60094107 66771230 80125476 100156845 120188214 133542460 200313690 240376428 300470535 400627380 600941070 687743669 1201882140 1375487338 2063231007 2750974676 3438718345 4126462014 6189693021 6877436690 8252924028 10316155035 12379386042 13754873380 20632310070 24758772084 30948465105 41264620140 61896930210 123793860420