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20034533304 = 2333297974013
BaseRepresentation
bin10010101010001001…
…101011011110111000
31220201020111202001000
4102222021223132320
5312012320031204
613112001325000
71306321503042
oct225211533670
956636452030
1020034533304
118550a76445
123a71636760
131b738a9146
14d80b14a92
157c3cdd039
hex4aa26b7b8

20034533304 has 128 divisors (see below), whose sum is σ = 57657096000. Its totient is φ = 6438200832.

The previous prime is 20034533251. The next prime is 20034533317. The reversal of 20034533304 is 40333543002.

It is a happy number.

20034533304 is a `hidden beast` number, since 200 + 3 + 453 + 3 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4990402 + ... + 4994414.

Almost surely, 220034533304 is an apocalyptic number.

20034533304 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 20034533304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828548000).

20034533304 is an abundant number, since it is smaller than the sum of its proper divisors (37622562696).

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

20034533304 is a wasteful number, since it uses less digits than its factorization.

20034533304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The spelling of 20034533304 in words is "twenty billion, thirty-four million, five hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 797 1044 1566 1594 2088 2391 3132 3188 4013 4782 6264 6376 7173 8026 9564 12039 14346 16052 19128 21519 23113 24078 28692 32104 36117 43038 46226 48156 57384 69339 72234 86076 92452 96312 108351 116377 138678 144468 172152 184904 208017 216702 232754 277356 288936 349131 416034 433404 465508 554712 624051 698262 832068 866808 931016 1047393 1248102 1396524 1664136 2094786 2496204 2793048 3142179 3198361 4189572 4992408 6284358 6396722 8379144 9595083 12568716 12793444 19190166 25137432 25586888 28785249 38380332 57570498 76760664 86355747 92752469 115140996 172711494 185504938 230281992 278257407 345422988 371009876 556514814 690845976 742019752 834772221 1113029628 1669544442 2226059256 2504316663 3339088884 5008633326 6678177768 10017266652 20034533304