Search a number
-
+
36561140136 = 233210914713167
BaseRepresentation
bin100010000011001101…
…101011100110101000
310111101000020100121100
4202003031223212220
51044334122441021
624443532041400
72433006364203
oct420315534650
9114330210540
1036561140136
11145618a07a4
127104303260
1335a87a1b41
141aab9a693a
15e3eb55626
hex88336b9a8

36561140136 has 96 divisors (see below), whose sum is σ = 100027699200. Its totient is φ = 12063219840.

The previous prime is 36561139999. The next prime is 36561140141. The reversal of 36561140136 is 63104116563.

36561140136 is a `hidden beast` number, since 3 + 6 + 5 + 611 + 4 + 0 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36561140136.

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, 11542825 + ... + 11545991.

It is an arithmetic number, because the mean of its divisors is an integer number (1041955200).

Almost surely, 236561140136 is an apocalyptic number.

36561140136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36561140136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50013849600).

36561140136 is an abundant number, since it is smaller than the sum of its proper divisors (63466559064).

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

36561140136 is a wasteful number, since it uses less digits than its factorization.

36561140136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 36561140136 its reverse (63104116563), we get a palindrome (99665256699).

The spelling of 36561140136 in words is "thirty-six billion, five hundred sixty-one million, one hundred forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1471 1962 2616 2942 3167 3924 4413 5884 6334 7848 8826 9501 11768 12668 13239 17652 19002 25336 26478 28503 35304 38004 52956 57006 76008 105912 114012 160339 228024 320678 345203 481017 641356 690406 962034 1035609 1282712 1380812 1443051 1924068 2071218 2761624 2886102 3106827 3848136 4142436 4658657 5772204 6213654 8284872 9317314 11544408 12427308 13975971 18634628 24854616 27951942 37269256 41927913 55903884 83855826 111807768 167711652 335423304 507793613 1015587226 1523380839 2031174452 3046761678 4062348904 4570142517 6093523356 9140285034 12187046712 18280570068 36561140136