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1230894332976 = 2437112338937223
BaseRepresentation
bin10001111010010111000…
…001001111110000110000
311100200011010211211120010
4101322113001033300300
5130131332422123401
62341244241214520
7154633465125450
oct21722701176060
94320133754503
101230894332976
11435023841790
1217a680031440
138c0c4040bc9
144380b655d60
15220420c1ed6
hex11e9704fc30

1230894332976 has 320 divisors, whose sum is σ = 4147551682560. Its totient is φ = 305017912320.

The previous prime is 1230894332947. The next prime is 1230894332977. The reversal of 1230894332976 is 6792334980321.

It is a super-2 number, since 2×12308943329762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1230894332977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33049501 + ... + 33086723.

It is an arithmetic number, because the mean of its divisors is an integer number (12961099008).

Almost surely, 21230894332976 is an apocalyptic number.

1230894332976 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 1230894332976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073775841280).

1230894332976 is an abundant number, since it is smaller than the sum of its proper divisors (2916657349584).

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

1230894332976 is a wasteful number, since it uses less digits than its factorization.

1230894332976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37664 (or 37658 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 1230894332976 in words is "one trillion, two hundred thirty billion, eight hundred ninety-four million, three hundred thirty-two thousand, nine hundred seventy-six".