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36331064064 = 283226359957
BaseRepresentation
bin100001110101100000…
…000000101100000000
310110202222022021120100
4201311200000230000
51043401223022224
624405032442400
72424213643401
oct416540005400
9113688267510
1036331064064
1114453a36189
12705b249400
13356cc17059
141a891d59a8
15e29859ac9
hex875800b00

36331064064 has 108 divisors (see below), whose sum is σ = 105151462416. Its totient is φ = 12064106496.

The previous prime is 36331064059. The next prime is 36331064071. The reversal of 36331064064 is 46046013363.

36331064064 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 1 + 0 + 640 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575974 + ... + 635930.

It is an arithmetic number, because the mean of its divisors is an integer number (973624652).

Almost surely, 236331064064 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 36331064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52575731208).

36331064064 is an abundant number, since it is smaller than the sum of its proper divisors (68820398352).

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

36331064064 is a wasteful number, since it uses less digits than its factorization.

36331064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60242 (or 60225 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 36331064064 in words is "thirty-six billion, three hundred thirty-one million, sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 263 288 384 526 576 768 789 1052 1152 1578 2104 2304 2367 3156 4208 4734 6312 8416 9468 12624 16832 18936 25248 33664 37872 50496 59957 67328 75744 100992 119914 151488 179871 201984 239828 302976 359742 479656 539613 605952 719484 959312 1079226 1438968 1918624 2158452 2877936 3837248 4316904 5755872 7674496 8633808 11511744 15348992 15768691 17267616 23023488 31537382 34535232 46046976 47306073 63074764 69070464 94612146 126149528 138140928 141918219 189224292 252299056 283836438 378448584 504598112 567672876 756897168 1009196224 1135345752 1513794336 2018392448 2270691504 3027588672 4036784896 4541383008 6055177344 9082766016 12110354688 18165532032 36331064064