Search a number
-
+
10082324064 = 253229458621
BaseRepresentation
bin10010110001111010…
…00000111001100000
3222000122200010111210
421120331000321200
5131122033332224
64344243110120
7504564224541
oct113075007140
928018603453
1010082324064
11430423332a
121b54672340
13c48a82637
146b90724c8
153e0220429
hex258f40e60

10082324064 has 48 divisors (see below), whose sum is σ = 26581731120. Its totient is φ = 3346091520.

The previous prime is 10082324039. The next prime is 10082324069. The reversal of 10082324064 is 46042328001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082324069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207327 + ... + 251294.

It is an arithmetic number, because the mean of its divisors is an integer number (553786065).

Almost surely, 210082324064 is an apocalyptic number.

It is an amenable number.

10082324064 is an abundant number, since it is smaller than the sum of its proper divisors (16499407056).

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

10082324064 is a wasteful number, since it uses less digits than its factorization.

10082324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458863 (or 458855 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10082324064 in words is "ten billion, eighty-two million, three hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 7328 10992 21984 458621 917242 1375863 1834484 2751726 3668968 5503452 7337936 11006904 14675872 22013808 44027616 105024209 210048418 315072627 420096836 630145254 840193672 1260290508 1680387344 2520581016 3360774688 5041162032 10082324064