Search a number
-
+
493268445184 = 2111933124601
BaseRepresentation
bin1110010110110010001…
…01110010100000000000
31202011012201121022000111
413023121011302200000
531040203210221214
61014334314401104
750431436414164
oct7133105624000
91664181538014
10493268445184
111802151a5759
127b722730194
1337690645048
1419c351c4ca4
15cc6eb935c4
hex72d9172800

493268445184 has 48 divisors (see below), whose sum is σ = 986814197460. Its totient is φ = 246504652800.

The previous prime is 493268445169. The next prime is 493268445217. The reversal of 493268445184 is 481544862394.

It can be written as a sum of positive squares in 2 ways, for example, as 492062966784 + 1205478400 = 701472^2 + 34720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3896484 + ... + 4021084.

Almost surely, 2493268445184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493268445184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493407098730).

493268445184 is an abundant number, since it is smaller than the sum of its proper divisors (493545752276).

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

493268445184 is a wasteful number, since it uses less digits than its factorization.

493268445184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126556 (or 126536 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 58.

The spelling of 493268445184 in words is "four hundred ninety-three billion, two hundred sixty-eight million, four hundred forty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1933 2048 3866 7732 15464 30928 61856 123712 124601 247424 249202 494848 498404 989696 996808 1979392 1993616 3958784 3987232 7974464 15948928 31897856 63795712 127591424 240853733 255182848 481707466 963414932 1926829864 3853659728 7707319456 15414638912 30829277824 61658555648 123317111296 246634222592 493268445184