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20005756253142 = 23111993594242907
BaseRepresentation
bin1001000110001111100111…
…11111101011001111010110
32121211112100112212110111120
410203013303333223033112
510110233242100100032
6110314303442344410
74133240201251002
oct443076377531726
977745315773446
1020005756253142
116413436946240
1222b12bb35b106
13b216c4a1939a
144d23d893b702
1524a5e03c262c
hex1231f3feb3d6

20005756253142 has 64 divisors (see below), whose sum is σ = 43990470144000. Its totient is φ = 6015082978080.

The previous prime is 20005756253111. The next prime is 20005756253149. The reversal of 20005756253142 is 24135265750002.

It is a junction number, because it is equal to n+sod(n) for n = 20005756253094 and 20005756253103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005756253149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593653 + ... + 6836559.

It is an arithmetic number, because the mean of its divisors is an integer number (687351096000).

Almost surely, 220005756253142 is an apocalyptic number.

20005756253142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20005756253142 is an abundant number, since it is smaller than the sum of its proper divisors (23984713890858).

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

20005756253142 is a wasteful number, since it uses less digits than its factorization.

20005756253142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243481.

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 20005756253142 in words is "twenty trillion, five billion, seven hundred fifty-six million, two hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 199 359 398 597 718 1077 1194 2154 2189 3949 4378 6567 7898 11847 13134 23694 71441 142882 214323 428646 785851 1571702 2357553 4242907 4715106 8485814 12728721 25457442 46671977 93343954 140015931 280031862 844338493 1523203613 1688676986 2533015479 3046407226 4569610839 5066030958 9139221678 9287723423 16755239743 18575446846 27863170269 33510479486 50265719229 55726340538 100531438458 303117518987 606235037974 909352556961 1818705113922 3334292708857 6668585417714 10002878126571 20005756253142