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20553523848 = 23341113221807
BaseRepresentation
bin10011001001000101…
…011110001010001000
31222001102002012020000
4103021011132022020
5314043200230343
613235301203000
71325223033024
oct231105361210
958042065200
1020553523848
118797a23750
123b97400460
131c27280040
14dcda11384
15804657ed3
hex4c915e288

20553523848 has 160 divisors (see below), whose sum is σ = 67633695360. Its totient is φ = 5749211520.

The previous prime is 20553523843. The next prime is 20553523877. The reversal of 20553523848 is 84832535502.

20553523848 is a `hidden beast` number, since 2 + 0 + 553 + 52 + 3 + 8 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (20553523843) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18240 + ... + 203567.

It is an arithmetic number, because the mean of its divisors is an integer number (422710596).

Almost surely, 220553523848 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 20553523848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33816847680).

20553523848 is an abundant number, since it is smaller than the sum of its proper divisors (47080171512).

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

20553523848 is a wasteful number, since it uses less digits than its factorization.

20553523848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221849 (or 221836 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 20553523848 in words is "twenty billion, five hundred fifty-three million, five hundred twenty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2808 3432 3564 3861 4212 5148 7128 7722 8424 10296 11583 15444 23166 30888 46332 92664 221807 443614 665421 887228 1330842 1774456 1996263 2439877 2661684 2883491 3992526 4879754 5323368 5766982 5988789 7319631 7985052 8650473 9759508 11533964 11977578 14639262 15970104 17300946 17966367 19519016 21958893 23067928 23955156 25951419 29278524 31718401 34601892 35932734 43917786 47910312 51902838 58557048 63436802 65876679 69203784 71865468 77854257 87835572 95155203 103805676 126873604 131753358 143730936 155708514 175671144 190310406 197630037 207611352 233562771 253747208 263506716 285465609 311417028 380620812 395260074 467125542 527013432 570931218 622834056 761241624 790520148 856396827 934251084 1141862436 1581040296 1712793654 1868502168 2283724872 2569190481 3425587308 5138380962 6851174616 10276761924 20553523848