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20523046115664 = 24321731567952543
BaseRepresentation
bin1001010101010011001001…
…10111111001100101010000
32200122222120101000012021200
410222221210313321211100
510142222144301200124
6111352053543351200
74215512133446661
oct452514467714520
980588511005250
1020523046115664
1165a2858552314
122375606752500
13b5b412c19031
1450d46c135368
15258cb8d87bc9
hex12aa64df9950

20523046115664 has 120 divisors (see below), whose sum is σ = 57772808970240. Its totient is φ = 6800908697856.

The previous prime is 20523046115623. The next prime is 20523046115699. The reversal of 20523046115664 is 46651164032502.

20523046115664 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 30 + 46 + 11 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390568977 + ... + 390621519.

It is an arithmetic number, because the mean of its divisors is an integer number (481440074752).

Almost surely, 220523046115664 is an apocalyptic number.

20523046115664 is a gapful number since it is divisible by the number (24) 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 20523046115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28886404485120).

20523046115664 is an abundant number, since it is smaller than the sum of its proper divisors (37249762854576).

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

20523046115664 is a wasteful number, since it uses less digits than its factorization.

20523046115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68409 (or 68400 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 20523046115664 in words is "twenty trillion, five hundred twenty-three billion, forty-six million, one hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 15679 24912 31358 47037 52543 62716 94074 105086 125432 141111 157629 188148 210172 250864 282222 315258 376296 420344 472887 564444 630516 752592 840688 945774 1128888 1261032 1891548 2257776 2522064 2712467 3783096 5424934 7566192 8137401 9089939 10849868 16274802 18179878 21699736 24412203 27269817 32549604 36359756 43399472 48824406 54539634 65099208 72719512 81809451 97648812 109079268 130198416 145439024 163618902 195297624 218158536 327237804 390595248 436317072 654475608 823821697 1308951216 1647643394 2471465091 3295286788 4942930182 6590573576 7414395273 9885860364 13181147152 14828790546 19771720728 29657581092 39543441456 59315162184 118630324368 142521153581 285042307162 427563460743 570084614324 855126921486 1140169228648 1282690382229 1710253842972 2280338457296 2565380764458 3420507685944 5130761528916 6841015371888 10261523057832 20523046115664