Search a number
-
+
36366131046 = 2374189237287
BaseRepresentation
bin100001110111100101…
…110001111101100110
310110212102021212102110
4201313211301331212
51043434212143141
624412324221450
72425121004450
oct416745617546
9113772255373
1036366131046
1114471807563
12706ab3a886
13357727444b
141a8db232d0
15e2c984e16
hex877971f66

36366131046 has 64 divisors (see below), whose sum is σ = 86107069440. Its totient is φ = 10022960640.

The previous prime is 36366131027. The next prime is 36366131069. The reversal of 36366131046 is 64013166363.

It is a junction number, because it is equal to n+sod(n) for n = 36366130995 and 36366131013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34615 + ... + 271901.

It is an arithmetic number, because the mean of its divisors is an integer number (1345422960).

Almost surely, 236366131046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36366131046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43053534720).

36366131046 is an abundant number, since it is smaller than the sum of its proper divisors (49740938394).

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

36366131046 is a wasteful number, since it uses less digits than its factorization.

36366131046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237429.

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 36366131046 in words is "thirty-six billion, three hundred sixty-six million, one hundred thirty-one thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 41 42 82 89 123 178 246 267 287 534 574 623 861 1246 1722 1869 3649 3738 7298 10947 21894 25543 51086 76629 153258 237287 474574 711861 1423722 1661009 3322018 4983027 9728767 9966054 19457534 21118543 29186301 42237086 58372602 63355629 68101369 126711258 136202738 147829801 204304107 295659602 408608214 443489403 865860263 886978806 1731720526 2597580789 5195161578 6061021841 12122043682 18183065523 36366131046