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1332292091904 = 21833199907
BaseRepresentation
bin10011011000110010110…
…011000000000000000000
311201100212201121200121000
4103120302303000000000
5133312013233420104
62500014015132000
7165153303634044
oct23306263000000
94640781550530
101332292091904
11474027175854
12196259b14000
13988332c6027
14486aa1a4024
15249c8dac639
hex13632cc0000

1332292091904 has 304 divisors, whose sum is σ = 4155708476800. Its totient is φ = 420681351168.

The previous prime is 1332292091869. The next prime is 1332292091917. The reversal of 1332292091904 is 4091902922331.

It is a happy number.

1332292091904 is a `hidden beast` number, since 1 + 33 + 229 + 209 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (304).

It is a self number, because there is not a number n which added to its sum of digits gives 1332292091904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134474919 + ... + 134484825.

Almost surely, 21332292091904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332292091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077854238400).

1332292091904 is an abundant number, since it is smaller than the sum of its proper divisors (2823416384896).

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

1332292091904 is an frugal number, since it uses more digits than its factorization.

1332292091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1332292091904 in words is "one trillion, three hundred thirty-two billion, two hundred ninety-two million, ninety-one thousand, nine hundred four".