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12332842945920 = 273457171999177
BaseRepresentation
bin1011001101110111011010…
…1110010000110110000000
31121200000020000210122120000
42303131312232100312000
53104030130243232140
642121344013320000
72412006226246650
oct263356656206600
947600200718500
1012332842945920
113a25369365512
121472230196000
136b5c9c8991b3
14308cac96c360
15165c13ac7a30
hexb3776b90d80

12332842945920 has 640 divisors, whose sum is σ = 53295526532160. Its totient is φ = 2653114466304.

The previous prime is 12332842945877. The next prime is 12332842945961. The reversal of 12332842945920 is 2954924823321.

12332842945920 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 2 + 8 + 42 + 9 + 4 + 592 + 0 = 666.

12332842945920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5169372 + ... + 7168548.

Almost surely, 212332842945920 is an apocalyptic number.

12332842945920 is a gapful number since it is divisible by the number (10) 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 12332842945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26647763266080).

12332842945920 is an abundant number, since it is smaller than the sum of its proper divisors (40962683586240).

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

12332842945920 is a wasteful number, since it uses less digits than its factorization.

12332842945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999232 (or 1999211 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12332842945920 in words is "twelve trillion, three hundred thirty-two billion, eight hundred forty-two million, nine hundred forty-five thousand, nine hundred twenty".