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20362113056032 = 2511443946313799
BaseRepresentation
bin1001010000100111011001…
…00000111111110100100000
32200002121011200001201002121
410220103230200333310200
510132103101420243112
6111150120421354024
74201054100144206
oct450235440776440
980077150051077
1020362113056032
116540583a876a0
12234a392568914
13b491a657c227
1450576273b076
152549ea53d407
hex1284ec83fd20

20362113056032 has 96 divisors (see below), whose sum is σ = 43838792524800. Its totient is φ = 9232968126720.

The previous prime is 20362113056027. The next prime is 20362113056053. The reversal of 20362113056032 is 23065031126302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475615469 + ... + 1475629267.

It is an arithmetic number, because the mean of its divisors is an integer number (456654088800).

Almost surely, 220362113056032 is an apocalyptic number.

20362113056032 is a gapful number since it is divisible by the number (22) 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 20362113056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21919396262400).

20362113056032 is an abundant number, since it is smaller than the sum of its proper divisors (23476679468768).

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

20362113056032 is a wasteful number, since it uses less digits than its factorization.

20362113056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23726 (or 23718 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 20362113056032 in words is "twenty trillion, three hundred sixty-two billion, one hundred thirteen million, fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 443 886 1772 3544 4873 7088 9463 9746 13799 14176 18926 19492 27598 37852 38984 55196 75704 77968 104093 110392 151408 151789 155936 208186 220784 302816 303578 416372 441568 607156 832744 1214312 1665488 2428624 3330976 4192109 4857248 6112957 8384218 12225914 16768436 24451828 33536872 46113199 48903656 67073744 67242527 92226398 97807312 130579937 134147488 134485054 184452796 195614624 261159874 268970108 368905592 522319748 537940216 737811184 1044639496 1075880432 1436379307 1475622368 2089278992 2151760864 2872758614 4178557984 5745517228 11491034456 22982068912 45964137824 57846912091 115693824182 231387648364 462775296728 636316033001 925550593456 1272632066002 1851101186912 2545264132004 5090528264008 10181056528016 20362113056032