Search a number
-
+
45647572464 = 2433138128129
BaseRepresentation
bin101010100000110011…
…101010110111110000
311100211020221221111000
4222200303222313300
51221441234304324
632545321522000
73204121651434
oct524063526760
9140736857430
1045647572464
11183a49568aa
128a1b343300
1343c6125210
1422d067a9c4
1512c27069c9
hexaa0ceadf0

45647572464 has 80 divisors (see below), whose sum is σ = 141104336800. Its totient is φ = 14045405184.

The previous prime is 45647572459. The next prime is 45647572519. The reversal of 45647572464 is 46427574654.

45647572464 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 7 + 572 + 4 + 64 = 666.

45647572464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×456475724642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45647572464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4058449 + ... + 4069680.

It is an arithmetic number, because the mean of its divisors is an integer number (1763804210).

Almost surely, 245647572464 is an apocalyptic number.

It is an amenable number.

45647572464 is an abundant number, since it is smaller than the sum of its proper divisors (95456764336).

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

45647572464 is a wasteful number, since it uses less digits than its factorization.

45647572464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128159 (or 8128147 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 45647572464 in words is "forty-five billion, six hundred forty-seven million, five hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 8128129 16256258 24384387 32512516 48768774 65025032 73153161 97537548 105665677 130050064 146306322 195075096 211331354 219459483 292612644 316997031 390150192 422662708 438918966 585225288 633994062 845325416 877837932 950991093 1170450576 1267988124 1690650832 1755675864 1901982186 2535976248 2852973279 3511351728 3803964372 5071952496 5705946558 7607928744 11411893116 15215857488 22823786232 45647572464