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20347957922368 = 264347592666383
BaseRepresentation
bin1001010000001101000001…
…10011011100101001000000
32200001020122011200102010211
410220012200303130221000
510131340104212003433
6111135420044003504
74200043236405016
oct450064063345100
980036564612124
1020347957922368
11653557a86021a
1223476a1b30594
13b47a5ba948ab
14504bbc8008b6
1525446c9b48cd
hex1281a0cdca40

20347957922368 has 112 divisors (see below), whose sum is σ = 42911290920960. Its totient is φ = 9561091244544.

The previous prime is 20347957922359. The next prime is 20347957922419. The reversal of 20347957922368 is 86322975974302.

It is a super-2 number, since 2×203479579223682 (a number of 27 digits) contains 22 as substring.

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, 6298105 + ... + 8964487.

It is an arithmetic number, because the mean of its divisors is an integer number (383136526080).

Almost surely, 220347957922368 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 20347957922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455645460480).

20347957922368 is an abundant number, since it is smaller than the sum of its proper divisors (22563332998592).

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

20347957922368 is a wasteful number, since it uses less digits than its factorization.

20347957922368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666544 (or 2666534 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 67.

The spelling of 20347957922368 in words is "twenty trillion, three hundred forty-seven billion, nine hundred fifty-seven million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 47 59 64 86 94 118 172 188 236 344 376 472 688 752 944 1376 1504 1888 2021 2537 2752 2773 3008 3776 4042 5074 5546 8084 10148 11092 16168 20296 22184 32336 40592 44368 64672 81184 88736 119239 129344 162368 177472 238478 476956 953912 1907824 2666383 3815648 5332766 7631296 10665532 21331064 42662128 85324256 114654469 125320001 157316597 170648512 229308938 250640002 314633194 458617876 501280004 629266388 917235752 1002560008 1258532776 1834471504 2005120016 2517065552 3668943008 4010240032 5034131104 5388760043 6764613671 7337886016 7393880059 8020480064 10068262208 10777520086 13529227342 14787760118 21555040172 27058454684 29575520236 43110080344 54116909368 59151040472 86220160688 108233818736 118302080944 172440321376 216467637472 236604161888 317936842537 344880642752 432935274944 473208323776 635873685074 1271747370148 2543494740296 5086989480592 10173978961184 20347957922368