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123676008976 = 2413267632
BaseRepresentation
bin111001100101110101…
…0100010001000010000
3102211020012020012211001
41303023222202020100
54011242024241401
6132452130031344
711635543505512
oct1631352421020
9384205205731
10123676008976
11484a5979073
121bb76a18554
13b87c95b100
145db363dbb2
15333ca7d601
hex1ccbaa2210

123676008976 has 45 divisors (see below), whose sum is σ = 259511004909. Its totient is φ = 57072794688.

The previous prime is 123676008971. The next prime is 123676008983. The reversal of 123676008976 is 679800676321.

It is a happy number.

The square root of 123676008976 is 351676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18295267600 + 105380741376 = 135260^2 + 324624^2 .

It is not an unprimeable number, because it can be changed into a prime (123676008971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18283771 + ... + 18290533.

Almost surely, 2123676008976 is an apocalyptic number.

123676008976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123676008976 is the 351676-th square number.

It is an amenable number.

123676008976 is an abundant number, since it is smaller than the sum of its proper divisors (135834995933).

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

123676008976 is an frugal number, since it uses more digits than its factorization.

123676008976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13560 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 123676008976 in words is "one hundred twenty-three billion, six hundred seventy-six million, eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 6763 13526 27052 54104 87919 108208 175838 351676 703352 1142947 1406704 2285894 4571788 9143576 18287152 45738169 91476338 182952676 365905352 594596197 731810704 1189192394 2378384788 4756769576 7729750561 9513539152 15459501122 30919002244 61838004488 123676008976