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18379680264 = 23321122109697
BaseRepresentation
bin10001000111100000…
…111010101000001000
31202102220121111102200
4101013200322220020
5300120144232024
612235444200200
71220315463441
oct210740725010
952386544380
1018379680264
117881939900
12368b399060
13196baa906a
14c650222c8
157288a62c9
hex44783aa08

18379680264 has 72 divisors (see below), whose sum is σ = 54715017630. Its totient is φ = 5569597440.

The previous prime is 18379680227. The next prime is 18379680283. The reversal of 18379680264 is 46208697381.

18379680264 is a `hidden beast` number, since 1 + 8 + 379 + 6 + 8 + 0 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16785275364 + 1594404900 = 129558^2 + 39930^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×183796802642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18379680264.

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 17 ways as a sum of consecutive naturals, for example, 1046137 + ... + 1063560.

Almost surely, 218379680264 is an apocalyptic number.

It is an amenable number.

18379680264 is an abundant number, since it is smaller than the sum of its proper divisors (36335337366).

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

18379680264 is a wasteful number, since it uses less digits than its factorization.

18379680264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109731 (or 2109713 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 18379680264 in words is "eighteen billion, three hundred seventy-nine million, six hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 2109697 4219394 6329091 8438788 12658182 16877576 18987273 23206667 25316364 37974546 46413334 50632728 69620001 75949092 92826668 139240002 151898184 185653336 208860003 255273337 278480004 417720006 510546674 556960008 765820011 835440012 1021093348 1531640022 1670880024 2042186696 2297460033 3063280044 4594920066 6126560088 9189840132 18379680264