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12937576050 = 23252759671039
BaseRepresentation
bin11000000110010001…
…11011111001110010
31020101122022221220100
430003020323321302
5202444004413200
65535441053230
7635414403420
oct140310737162
936348287810
1012937576050
115539a19413
122610927216
1312b2486659
148aa35a110
1550ac20d00
hex30323be72

12937576050 has 288 divisors, whose sum is σ = 41040230400. Its totient is φ = 2860894080.

The previous prime is 12937576039. The next prime is 12937576073. The reversal of 12937576050 is 5067573921.

12937576050 is a `hidden beast` number, since 1 + 2 + 9 + 37 + 5 + 7 + 605 + 0 = 666.

12937576050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12937575987 and 12937576005.

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 143 ways as a sum of consecutive naturals, for example, 12451431 + ... + 12452469.

It is an arithmetic number, because the mean of its divisors is an integer number (142500800).

Almost surely, 212937576050 is an apocalyptic number.

12937576050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12937576050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520115200).

12937576050 is an abundant number, since it is smaller than the sum of its proper divisors (28102654350).

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

12937576050 is a wasteful number, since it uses less digits than its factorization.

12937576050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 12937576050 in words is "twelve billion, nine hundred thirty-seven million, five hundred seventy-six thousand, fifty".