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9144564864 = 27323813971
BaseRepresentation
bin10001000010000111…
…01111110010000000
3212121022010000201120
420201003233302000
5122212002033424
64111223432240
7442416342651
oct104103576200
925538100646
109144564864
113972960a26
1219325b5680
13b296c8336
1462a6c7528
15387c35a79
hex2210efc80

9144564864 has 32 divisors (see below), whose sum is σ = 24290251440. Its totient is φ = 3048188160.

The previous prime is 9144564851. The next prime is 9144564901. The reversal of 9144564864 is 4684654419.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 11906602 + ... + 11907369.

Almost surely, 29144564864 is an apocalyptic number.

It is an amenable number.

9144564864 is an abundant number, since it is smaller than the sum of its proper divisors (15145686576).

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

9144564864 is a wasteful number, since it uses less digits than its factorization.

9144564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813988 (or 23813976 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 9144564864 is about 95627.2182174092. The cubic root of 9144564864 is about 2091.1620152301.

The spelling of 9144564864 in words is "nine billion, one hundred forty-four million, five hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 23813971 47627942 71441913 95255884 142883826 190511768 285767652 381023536 571535304 762047072 1143070608 1524094144 2286141216 3048188288 4572282432 9144564864