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20372921766848 = 267271615127281
BaseRepresentation
bin1001010000111011100001…
…10000111101001111000000
32200010122001221120002220102
410220131300300331033000
510132242220433014343
6111155105133501532
74201615664522510
oct450356060751700
980118057502812
1020372921766848
116545120242052
1223504aa3418a8
13b4a20997c3c1
145060aa055840
15254e2e3e43b8
hex128770c3d3c0

20372921766848 has 112 divisors (see below), whose sum is σ = 46382605744128. Its totient is φ = 8697300480000.

The previous prime is 20372921766829. The next prime is 20372921766929. The reversal of 20372921766848 is 84866712927302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 746766968 + ... + 746794248.

Almost surely, 220372921766848 is an apocalyptic number.

20372921766848 is a gapful number since it is divisible by the number (28) 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 20372921766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23191302872064).

20372921766848 is an abundant number, since it is smaller than the sum of its proper divisors (26009683977280).

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

20372921766848 is a wasteful number, since it uses less digits than its factorization.

20372921766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33722 (or 33712 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 65.

The spelling of 20372921766848 in words is "twenty trillion, three hundred seventy-two billion, nine hundred twenty-one million, seven hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1897 2168 3794 4336 6151 7588 8672 12302 15176 17344 24604 27281 30352 43057 49208 54562 60704 86114 98416 109124 121408 172228 190967 196832 218248 344456 381934 393664 436496 688912 763868 872992 1377824 1527736 1666921 1745984 2755648 3055472 3333842 6110944 6667684 7393151 11668447 12221888 13335368 14786302 23336894 26670736 29572604 46673788 51752057 53341472 59145208 93347576 103504114 106682944 118290416 167805431 186695152 207008228 236580832 335610862 373390304 414016456 473161664 671221724 746780608 828032912 1174638017 1342443448 1656065824 2349276034 2684886896 3312131648 4698552068 5369773792 9397104136 10739547584 18794208272 37588416544 45475271801 75176833088 90950543602 181901087204 318326902607 363802174408 636653805214 727604348816 1273307610428 1455208697632 2546615220856 2910417395264 5093230441712 10186460883424 20372921766848