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230429321966592 = 210347256696557
BaseRepresentation
bin110100011001001100000001…
…111000011011010000000000
31010012212211100122100102110000
4310121030001320123100000
5220200323222410412332
62134025434044240000
766351653260352100
oct6431140170332000
91105784318312400
10230429321966592
1167470587a74241
1221a168b5840000
139b76512ab3748
1440c8ba5521200
151b98edeaa6b7c
hexd19301e1b400

230429321966592 has 330 divisors, whose sum is σ = 800451020596722. Its totient is φ = 65836947972096.

The previous prime is 230429321966581. The next prime is 230429321966609. The reversal of 230429321966592 is 295669123924032.

It is a happy number.

230429321966592 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 2 + 9 + 32 + 1 + 9 + 6 + 6 + 592 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207136111666176 + 23293210300416 = 14392224^2 + 4826304^2 .

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 24284023 + ... + 32412534.

Almost surely, 2230429321966592 is an apocalyptic number.

It is an amenable number.

230429321966592 is an abundant number, since it is smaller than the sum of its proper divisors (570021698630130).

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

230429321966592 is an equidigital number, since it uses as much as digits as its factorization.

230429321966592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56696603 (or 56696569 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 230429321966592 in words is "two hundred thirty trillion, four hundred twenty-nine billion, three hundred twenty-one million, nine hundred sixty-six thousand, five hundred ninety-two".