Search a number
-
+
930564736668 = 223273692717209
BaseRepresentation
bin11011000101010011111…
…10110000011010011100
310021221221122201120200100
431202221332300122130
5110221244033033133
61551255011501100
7124142155515660
oct15425176603234
93257848646610
10930564736668
11329717596946
121304242b7790
13699a0b511c8
143307a8388a0
1519315a09e13
hexd8a9fb069c

930564736668 has 36 divisors (see below), whose sum is σ = 2688298128880. Its totient is φ = 265875638976.

The previous prime is 930564736667. The next prime is 930564736709. The reversal of 930564736668 is 866637465039.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930564736663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1846358353 + ... + 1846358856.

Almost surely, 2930564736668 is an apocalyptic number.

It is an amenable number.

930564736668 is an abundant number, since it is smaller than the sum of its proper divisors (1757733392212).

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

930564736668 is a wasteful number, since it uses less digits than its factorization.

930564736668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692717226 (or 3692717221 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 930564736668 in words is "nine hundred thirty billion, five hundred sixty-four million, seven hundred thirty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3692717209 7385434418 11078151627 14770868836 22156303254 25849020463 33234454881 44312606508 51698040926 66468909762 77547061389 103396081852 132937819524 155094122778 232641184167 310188245556 465282368334 930564736668