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36313433640 = 23325119170059
BaseRepresentation
bin100001110100011100…
…110000011000101000
310110201202010120011200
4201310130300120220
51043332214334030
624403202524200
72423611043631
oct416434603050
9113652116150
1036313433640
1114444a94190
127055366660
133569383353
141a86b26888
15e28025d60
hex874730628

36313433640 has 96 divisors (see below), whose sum is σ = 128747642400. Its totient is φ = 8803255680.

The previous prime is 36313433633. The next prime is 36313433641. The reversal of 36313433640 is 4633431363.

36313433640 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 3 + 4 + 3 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36313433595 and 36313433604.

It is not an unprimeable number, because it can be changed into a prime (36313433641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4581070 + ... + 4588989.

It is an arithmetic number, because the mean of its divisors is an integer number (1341121275).

Almost surely, 236313433640 is an apocalyptic number.

36313433640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36313433640 is an abundant number, since it is smaller than the sum of its proper divisors (92434208760).

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

36313433640 is a wasteful number, since it uses less digits than its factorization.

36313433640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170087 (or 9170080 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The spelling of 36313433640 in words is "thirty-six billion, three hundred thirteen million, four hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 9170059 18340118 27510177 36680236 45850295 55020354 73360472 82530531 91700590 100870649 110040708 137550885 165061062 183401180 201741298 220081416 275101770 302611947 330122124 366802360 403482596 412652655 504353245 550203540 605223894 660244248 806965192 825305310 907835841 1008706490 1100407080 1210447788 1513059735 1650610620 1815671682 2017412980 2420895576 3026119470 3301221240 3631343364 4034825960 4539179205 6052238940 7262686728 9078358410 12104477880 18156716820 36313433640