Search a number
-
+
10059348924 = 22322237731621
BaseRepresentation
bin10010101111001010…
…10111101110111100
3221222001102212112200
421113211113232330
5131100143131144
64342102431500
7504165024612
oct112745275674
927861385480
1010059348924
1142a2270809
121b48a32590
13c44099c91
146b5db16b2
153dd1d2c69
hex257957bbc

10059348924 has 72 divisors (see below), whose sum is σ = 25590644352. Its totient is φ = 3331704960.

The previous prime is 10059348907. The next prime is 10059348967. The reversal of 10059348924 is 42984395001.

10059348924 is a `hidden beast` number, since 10 + 0 + 593 + 48 + 9 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10059348924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6204834 + ... + 6206454.

It is an arithmetic number, because the mean of its divisors is an integer number (355425616).

Almost surely, 210059348924 is an apocalyptic number.

It is an amenable number.

10059348924 is an abundant number, since it is smaller than the sum of its proper divisors (15531295428).

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

10059348924 is a wasteful number, since it uses less digits than its factorization.

10059348924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10059348924 in words is "ten billion, fifty-nine million, three hundred forty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 773 892 1338 1546 1621 2007 2319 2676 3092 3242 4014 4638 4863 6484 6957 8028 9276 9726 13914 14589 19452 27828 29178 58356 172379 344758 361483 517137 689516 722966 1034274 1084449 1253033 1445932 1551411 2068548 2168898 2506066 3102822 3253347 3759099 4337796 5012132 6205644 6506694 7518198 11277297 13013388 15036396 22554594 45109188 279426359 558852718 838279077 1117705436 1676558154 2514837231 3353116308 5029674462 10059348924