Search a number
-
+
10460516424 = 2331985326893
BaseRepresentation
bin10011011110111111…
…01101000001001000
31000000000022021220020
421233133231001020
5132410343011144
64445553100440
7520135631301
oct115737550110
930000267806
1010460516424
1144887638a6
12203b257720
13ca9229ab7
1471339b7a8
15413527419
hex26f7ed048

10460516424 has 64 divisors (see below), whose sum is σ = 27560971200. Its totient is φ = 3299325696.

The previous prime is 10460516399. The next prime is 10460516447. The reversal of 10460516424 is 42461506401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375522 + ... + 402414.

It is an arithmetic number, because the mean of its divisors is an integer number (430640175).

Almost surely, 210460516424 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 10460516424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780485600).

10460516424 is an abundant number, since it is smaller than the sum of its proper divisors (17100454776).

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

10460516424 is a wasteful number, since it uses less digits than its factorization.

10460516424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27774 (or 27770 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10460516424 in words is "ten billion, four hundred sixty million, five hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 853 1706 2559 3412 5118 6824 10236 16207 20472 26893 32414 48621 53786 64828 80679 97242 107572 129656 161358 194484 215144 322716 388968 510967 645432 1021934 1532901 2043868 3065802 4087736 6131604 12263208 22939729 45879458 68819187 91758916 137638374 183517832 275276748 435854851 550553496 871709702 1307564553 1743419404 2615129106 3486838808 5230258212 10460516424