Search a number
-
+
45684761664 = 263613388159
BaseRepresentation
bin101010100011000001…
…100010010001000000
311100220211221100110210
4222203001202101000
51222030244333124
632553130554120
73205053031653
oct524301422100
9140824840423
1045684761664
1118413947683
128a2b898940
134400a46569
1422d559b89a
1512c5b00a29
hexaa3062440

45684761664 has 56 divisors (see below), whose sum is σ = 121071761920. Its totient is φ = 15203372544.

The previous prime is 45684761621. The next prime is 45684761743. The reversal of 45684761664 is 46616748654.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76384 + ... + 311775.

Almost surely, 245684761664 is an apocalyptic number.

It is an amenable number.

45684761664 is an abundant number, since it is smaller than the sum of its proper divisors (75387000256).

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

45684761664 is a wasteful number, since it uses less digits than its factorization.

45684761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388787 (or 388777 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 45684761664 in words is "forty-five billion, six hundred eighty-four million, seven hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 613 1226 1839 2452 3678 4904 7356 9808 14712 19616 29424 39232 58848 117696 388159 776318 1164477 1552636 2328954 3105272 4657908 6210544 9315816 12421088 18631632 24842176 37263264 74526528 237941467 475882934 713824401 951765868 1427648802 1903531736 2855297604 3807063472 5710595208 7614126944 11421190416 15228253888 22842380832 45684761664