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638823845023 = 72135927676143
BaseRepresentation
bin10010100101111001101…
…11100100110010011111
32021001220201202201200021
421102330313210302133
540431302401020043
61205245512013011
764103436042400
oct11227467446237
92231821681607
10638823845023
11226a18451a31
12a3984991167
1348319146b80
1422cc256b9a7
151193d4793ed
hex94bcde4c9f

638823845023 has 48 divisors (see below), whose sum is σ = 814275624960. Its totient is φ = 496615783104.

The previous prime is 638823845003. The next prime is 638823845039. The reversal of 638823845023 is 320548328836.

It is a de Polignac number, because none of the positive numbers 2k-638823845023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638823845003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103989090 + ... + 103995232.

It is an arithmetic number, because the mean of its divisors is an integer number (16964075520).

Almost surely, 2638823845023 is an apocalyptic number.

638823845023 is a deficient number, since it is larger than the sum of its proper divisors (175451779937).

638823845023 is a wasteful number, since it uses less digits than its factorization.

638823845023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 638823845023 in words is "six hundred thirty-eight billion, eight hundred twenty-three million, eight hundred forty-five thousand, twenty-three".

Divisors: 1 7 13 49 59 91 413 637 767 2767 2891 5369 6143 19369 35971 37583 43001 79859 135583 163253 251797 301007 362437 559013 1142771 1762579 2122289 2537059 3913091 4711681 7999397 14856023 16997681 17759413 32981767 103992161 118983767 220969853 230872369 832886369 1002863179 1546788971 7020042253 10827522797 13037221327 49140295771 91260549289 638823845023