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36431313156 = 22327599725261
BaseRepresentation
bin100001111011011110…
…011011100100000100
310111000221221110110200
4201323132123210010
51044102404010111
624423013250500
72426542023660
oct417336334404
9114027843420
1036431313156
11144a5587877
127088933a30
133587917044
141a9864d8a0
15e3355d256
hex87b79b904

36431313156 has 144 divisors (see below), whose sum is σ = 108137527680. Its totient is φ = 10126632960.

The previous prime is 36431313073. The next prime is 36431313161. The reversal of 36431313156 is 65131313463.

36431313156 is a `hidden beast` number, since 3 + 643 + 1 + 3 + 1 + 3 + 1 + 5 + 6 = 666.

36431313156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 36431313156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1429566 + ... + 1454826.

Almost surely, 236431313156 is an apocalyptic number.

36431313156 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 36431313156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54068763840).

36431313156 is an abundant number, since it is smaller than the sum of its proper divisors (71706214524).

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

36431313156 is a wasteful number, since it uses less digits than its factorization.

36431313156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25434 (or 25429 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The spelling of 36431313156 in words is "thirty-six billion, four hundred thirty-one million, three hundred thirteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 97 118 126 177 194 236 252 291 354 388 413 531 582 679 708 826 873 1062 1164 1239 1358 1652 1746 2037 2124 2478 2716 3492 3717 4074 4956 5723 6111 7434 8148 11446 12222 14868 17169 22892 24444 25261 34338 40061 50522 51507 68676 75783 80122 101044 103014 120183 151566 160244 176827 206028 227349 240366 303132 353654 360549 454698 480732 530481 707308 721098 909396 1060962 1442196 1490399 1591443 2121924 2450317 2980798 3182886 4471197 4900634 5961596 6365772 7350951 8942394 9801268 10432793 13413591 14701902 17152219 17884788 20865586 22052853 26827182 29403804 31298379 34304438 41731172 44105706 51456657 53654364 62596758 68608876 88211412 93895137 102913314 125193516 144568703 154369971 187790274 205826628 289137406 308739942 375580548 433706109 578274812 617479884 867412218 1011980921 1301118327 1734824436 2023961842 2602236654 3035942763 4047923684 5204473308 6071885526 9107828289 12143771052 18215656578 36431313156