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36225631640 = 23511479718059
BaseRepresentation
bin100001101111001101…
…110100010110011000
310110111121220202110202
4201233031310112120
51043142230203030
624350345001332
72421463534262
oct415715642630
9113447822422
1036225631640
11143aa474250
12702ba83248
1335541209c3
141a791ccb32
15e20480745
hex86f374598

36225631640 has 128 divisors (see below), whose sum is σ = 91750579200. Its totient is φ = 12759060480.

The previous prime is 36225631639. The next prime is 36225631661. The reversal of 36225631640 is 4613652263.

It is a happy number.

36225631640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36225631594 and 36225631603.

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, 1996931 + ... + 2014989.

It is an arithmetic number, because the mean of its divisors is an integer number (716801400).

Almost surely, 236225631640 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 36225631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45875289600).

36225631640 is an abundant number, since it is smaller than the sum of its proper divisors (55524947560).

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

36225631640 is a wasteful number, since it uses less digits than its factorization.

36225631640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18225 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 36225631640 in words is "thirty-six billion, two hundred twenty-five million, six hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 97 110 188 194 220 235 376 388 440 470 485 517 776 940 970 1034 1067 1880 1940 2068 2134 2585 3880 4136 4268 4559 5170 5335 8536 9118 10340 10670 18059 18236 20680 21340 22795 36118 36472 42680 45590 50149 72236 90295 91180 100298 144472 180590 182360 198649 200596 250745 361180 397298 401192 501490 722360 794596 848773 993245 1002980 1589192 1697546 1751723 1986490 2005960 3395092 3503446 3972980 4243865 6790184 7006892 7945960 8487730 8758615 9336503 14013784 16975460 17517230 18673006 19268953 33950920 35034460 37346012 38537906 46682515 70068920 74692024 77075812 82330981 93365030 96344765 154151624 164661962 186730060 192689530 329323924 373460120 385379060 411654905 658647848 770758120 823309810 905640791 1646619620 1811281582 3293239240 3622563164 4528203955 7245126328 9056407910 18112815820 36225631640