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9141914561 = 13255797117
BaseRepresentation
bin10001000001110011…
…01000101111000001
3212121010010101012012
420200321220233001
5122210312231221
64111050542305
7442354664063
oct104071505701
925533111165
109141914561
11397141079a
121931737995
13b28caac00
1462a1d7733
153878b065b
hex220e68bc1

9141914561 has 12 divisors (see below), whose sum is σ = 9917107452. Its totient is φ = 8423453376.

The previous prime is 9141914513. The next prime is 9141914599. The reversal of 9141914561 is 1654191419.

It can be written as a sum of positive squares in 6 ways, for example, as 1593606400 + 7548308161 = 39920^2 + 86881^2 .

It is not a de Polignac number, because 9141914561 - 26 = 9141914497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9141914161) 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, 45575 + ... + 142691.

It is an arithmetic number, because the mean of its divisors is an integer number (826425621).

Almost surely, 29141914561 is an apocalyptic number.

It is an amenable number.

9141914561 is a deficient number, since it is larger than the sum of its proper divisors (775192891).

9141914561 is a wasteful number, since it uses less digits than its factorization.

9141914561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97700 (or 97687 counting only the distinct ones).

The product of its digits is 38880, while the sum is 41.

The square root of 9141914561 is about 95613.3597411993. The cubic root of 9141914561 is about 2090.9599735965.

The spelling of 9141914561 in words is "nine billion, one hundred forty-one million, nine hundred fourteen thousand, five hundred sixty-one".

Divisors: 1 13 169 557 7241 94133 97117 1262521 16412773 54094169 703224197 9141914561