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9141521364 = 2232253931149
BaseRepresentation
bin10001000001110000…
…01000101111010100
3212121002101101211100
420200320020233110
5122210212140424
64111034310100
7442351435533
oct104070105724
925532341740
109141521364
113971172338
121931588330
13b28ba0c51
1462a13431a
15387833dc9
hex220e08bd4

9141521364 has 18 divisors (see below), whose sum is σ = 23107734650. Its totient is φ = 3047173776.

The previous prime is 9141521359. The next prime is 9141521377. The reversal of 9141521364 is 4631251419.

It is a happy number.

9141521364 is a `hidden beast` number, since 91 + 41 + 521 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8585504964 + 556016400 = 92658^2 + 23580^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 253931149 = 9141521364 / (9 + 1 + 4 + 1 + 5 + 2 + 1 + 3 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126965539 + ... + 126965610.

Almost surely, 29141521364 is an apocalyptic number.

It is an amenable number.

9141521364 is an abundant number, since it is smaller than the sum of its proper divisors (13966213286).

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

9141521364 is a wasteful number, since it uses less digits than its factorization.

9141521364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253931159 (or 253931154 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 9141521364 is about 95611.3035367681. The cubic root of 9141521364 is about 2090.9299955225.

The spelling of 9141521364 in words is "nine billion, one hundred forty-one million, five hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 253931149 507862298 761793447 1015724596 1523586894 2285380341 3047173788 4570760682 9141521364