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12331983557376 = 28327359264487
BaseRepresentation
bin1011001101110100001101…
…1111111101001100000000
31121122221000010201012002200
42303131003133331030000
53104021400242314001
642121122433513200
72411646022464000
oct263350337751400
947587003635080
1012331983557376
113a24a6825114a
121472030412800
136b5b93821772
14308c2a784000
15165bb341e086
hexb37437fd300

12331983557376 has 432 divisors, whose sum is σ = 42167850816000. Its totient is φ = 3463691728896.

The previous prime is 12331983557357. The next prime is 12331983557393. The reversal of 12331983557376 is 67375538913321.

12331983557376 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 9 + 8 + 3 + 557 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46493805 + ... + 46758291.

Almost surely, 212331983557376 is an apocalyptic number.

12331983557376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331983557376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21083925408000).

12331983557376 is an abundant number, since it is smaller than the sum of its proper divisors (29835867258624).

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

12331983557376 is an equidigital number, since it uses as much as digits as its factorization.

12331983557376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264589 (or 264558 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 12331983557376 in words is "twelve trillion, three hundred thirty-one billion, nine hundred eighty-three million, five hundred fifty-seven thousand, three hundred seventy-six".