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10480974561 = 335324130391
BaseRepresentation
bin10011100001011011…
…01111101011100001
31000001102210200012000
421300231233223201
5132431112141221
64452003354213
7520504546101
oct116055575341
930042720160
1010480974561
114499267352
122046082969
13cb05408c5
14715da5201
15415218e26
hex270b6fae1

10480974561 has 32 divisors (see below), whose sum is σ = 15886506240. Its totient is φ = 6826809600.

The previous prime is 10480974529. The next prime is 10480974563. The reversal of 10480974561 is 16547908401.

10480974561 is a `hidden beast` number, since 1 + 0 + 4 + 80 + 9 + 7 + 4 + 561 = 666.

It is not a de Polignac number, because 10480974561 - 25 = 10480974529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10480974563) 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 31 ways as a sum of consecutive naturals, for example, 329676 + ... + 360066.

It is an arithmetic number, because the mean of its divisors is an integer number (496453320).

Almost surely, 210480974561 is an apocalyptic number.

It is an amenable number.

10480974561 is a deficient number, since it is larger than the sum of its proper divisors (5405531679).

10480974561 is a wasteful number, since it uses less digits than its factorization.

10480974561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30694 (or 30688 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10480974561 in words is "ten billion, four hundred eighty million, nine hundred seventy-four thousand, five hundred sixty-one".

Divisors: 1 3 9 27 53 159 241 477 723 1431 2169 6507 12773 30391 38319 91173 114957 273519 344871 820557 1610723 4832169 7324231 14496507 21972693 43489521 65918079 197754237 388184243 1164552729 3493658187 10480974561