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36442967652 = 223271379140813
BaseRepresentation
bin100001111100001010…
…111000111001100100
310111001202212120102200
4201330022320321210
51044113344431102
624424111134500
72430043054050
oct417412707144
9114052776380
1036442967652
1114501117a93
127090814430
13358a1679b0
141a9a004c60
15e345b151c
hex87c2b8e64

36442967652 has 144 divisors (see below), whose sum is σ = 114814103040. Its totient is φ = 9489602304.

The previous prime is 36442967623. The next prime is 36442967719. The reversal of 36442967652 is 25676924463.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188398 + ... + 329210.

It is an arithmetic number, because the mean of its divisors is an integer number (797320160).

Almost surely, 236442967652 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 36442967652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57407051520).

36442967652 is an abundant number, since it is smaller than the sum of its proper divisors (78371135388).

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

36442967652 is a wasteful number, since it uses less digits than its factorization.

36442967652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140922 (or 140917 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 36442967652 in words is "thirty-six billion, four hundred forty-two million, nine hundred sixty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 79 84 91 117 126 156 158 182 234 237 252 273 316 364 468 474 546 553 711 819 948 1027 1092 1106 1422 1638 1659 2054 2212 2844 3081 3276 3318 4108 4977 6162 6636 7189 9243 9954 12324 14378 18486 19908 21567 28756 36972 43134 64701 86268 129402 140813 258804 281626 422439 563252 844878 985691 1267317 1689756 1830569 1971382 2534634 2957073 3661138 3942764 5069268 5491707 5914146 7322276 8871219 10983414 11124227 11828292 12813983 16475121 17742438 21966828 22248454 25627966 32950242 33372681 35484876 38441949 44496908 51255932 65900484 66745362 76883898 77869589 100118043 115325847 133490724 144614951 153767796 155739178 200236086 230651694 233608767 289229902 311478356 400472172 433844853 461303388 467217534 578459804 700826301 867689706 934435068 1012304657 1301534559 1401652602 1735379412 2024609314 2603069118 2803305204 3036913971 4049218628 5206138236 6073827942 9110741913 12147655884 18221483826 36442967652