Search a number
-
+
264405443572116 = 223271195384359153
BaseRepresentation
bin111100000111100110110000…
…100010100111000110010100
31021200011220122222022202120200
4330013212300202213012110
5234124004322023301431
62334202103420500500
7106456443243053130
oct7407466042470624
91250156588282520
10264405443572116
117727a79a951750
12257a36680aa730
13b46c431c8ba02
1449414127c83c0
152087bd436aee6
hexf079b08a7194

264405443572116 has 72 divisors (see below), whose sum is σ = 833277761569344. Its totient is φ = 68676738589440.

The previous prime is 264405443572093. The next prime is 264405443572121. The reversal of 264405443572116 is 611275344504462.

264405443572116 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 0 + 54 + 4 + 3 + 572 + 1 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47692176805 + ... + 47692182348.

Almost surely, 2264405443572116 is an apocalyptic number.

It is an amenable number.

264405443572116 is an abundant number, since it is smaller than the sum of its proper divisors (568872317997228).

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

264405443572116 is a wasteful number, since it uses less digits than its factorization.

264405443572116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95384359181 (or 95384359176 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 264405443572116 in words is "two hundred sixty-four trillion, four hundred five billion, four hundred forty-three million, five hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 95384359153 190768718306 286153077459 381537436612 572306154918 667690514071 858459232377 1049227950683 1144612309836 1335381028142 1716918464754 2003071542213 2098455901366 2670762056284 3147683852049 3433836929508 4006143084426 4196911802732 6009214626639 6295367704098 7344595654781 8012286168852 9443051556147 12018429253278 12590735408196 14689191309562 18886103112294 22033786964343 24036858506556 29378382619124 37772206224588 44067573928686 66101360893029 88135147857372 132202721786058 264405443572116