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10047317749 = 72533868817
BaseRepresentation
bin10010101101101110…
…11110011011110101
3221221012210121212121
421112313132123311
5131034103131444
64340552515541
7503660535400
oct112667363365
927835717777
1010047317749
1142964a3597
121b449abbb1
13c41746a41
146b455cd37
153dc108084
hex256dde6f5

10047317749 has 12 divisors (see below), whose sum is σ = 11908221804. Its totient is φ = 8449494144.

The previous prime is 10047317729. The next prime is 10047317767. The reversal of 10047317749 is 94771374001.

It can be written as a sum of positive squares in 2 ways, for example, as 5366295025 + 4681022724 = 73255^2 + 68418^2 .

It is not a de Polignac number, because 10047317749 - 213 = 10047309557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047317729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1931812 + ... + 1937005.

It is an arithmetic number, because the mean of its divisors is an integer number (992351817).

Almost surely, 210047317749 is an apocalyptic number.

It is an amenable number.

10047317749 is a deficient number, since it is larger than the sum of its proper divisors (1860904055).

10047317749 is an equidigital number, since it uses as much as digits as its factorization.

10047317749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868884 (or 3868877 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The spelling of 10047317749 in words is "ten billion, forty-seven million, three hundred seventeen thousand, seven hundred forty-nine".

Divisors: 1 7 49 53 371 2597 3868817 27081719 189572033 205047301 1435331107 10047317749