Search a number
-
+
10459538136 = 23323112736899
BaseRepresentation
bin10011011110110111…
…11110001011011000
3222222221110120221100
421233123332023120
5132410120210021
64445520111400
7520124415165
oct115733761330
928887416840
1010459538136
1144881558a3
12203aa65560
13ca8c76728
147131c506c
154133d2626
hex26f6fe2d8

10459538136 has 96 divisors (see below), whose sum is σ = 29472768000. Its totient is φ = 3347386560.

The previous prime is 10459538129. The next prime is 10459538147. The reversal of 10459538136 is 63183595401.

10459538136 is a `hidden beast` number, since 10 + 4 + 595 + 38 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10459538091 and 10459538100.

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, 265015 + ... + 301913.

It is an arithmetic number, because the mean of its divisors is an integer number (307008000).

Almost surely, 210459538136 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 10459538136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736384000).

10459538136 is an abundant number, since it is smaller than the sum of its proper divisors (19013229864).

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

10459538136 is a wasteful number, since it uses less digits than its factorization.

10459538136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37069 (or 37062 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10459538136 in words is "ten billion, four hundred fifty-nine million, five hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 127 186 248 254 279 372 381 508 558 744 762 1016 1116 1143 1524 2232 2286 3048 3937 4572 7874 9144 11811 15748 23622 31496 35433 36899 47244 70866 73798 94488 110697 141732 147596 221394 283464 295192 332091 442788 664182 885576 1143869 1328364 2287738 2656728 3431607 4575476 4686173 6863214 9150952 9372346 10294821 13726428 14058519 18744692 20589642 27452856 28117038 37489384 41179284 42175557 56234076 82358568 84351114 112468152 145271363 168702228 290542726 337404456 435814089 581085452 871628178 1162170904 1307442267 1743256356 2614884534 3486512712 5229769068 10459538136