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10047008980 = 225736881513
BaseRepresentation
bin10010101101101100…
…10011000011010100
3221221012012221022201
421112312103003110
5131034013241410
64340542134244
7503655111241
oct112666230324
927835187281
1010047008980
114296302608
121b44881384
13c41669338
146b44bc5c8
153dc09683a
hex256d930d4

10047008980 has 24 divisors (see below), whose sum is σ = 21387745512. Its totient is φ = 3963750912.

The previous prime is 10047008947. The next prime is 10047008981. The reversal of 10047008980 is 8980074001.

It can be written as a sum of positive squares in 4 ways, for example, as 998433604 + 9048575376 = 31598^2 + 95124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047008981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3439297 + ... + 3442216.

It is an arithmetic number, because the mean of its divisors is an integer number (891156063).

Almost surely, 210047008980 is an apocalyptic number.

10047008980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10047008980 is an abundant number, since it is smaller than the sum of its proper divisors (11340736532).

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

10047008980 is a wasteful number, since it uses less digits than its factorization.

10047008980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881595 (or 6881593 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10047008980 in words is "ten billion, forty-seven million, eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 6881513 13763026 27526052 34407565 68815130 137630260 502350449 1004700898 2009401796 2511752245 5023504490 10047008980