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643523325345 = 335233136411033
BaseRepresentation
bin10010101110101001111…
…10101010110110100001
32021112001020200001202000
421113110332222312201
541020413432402340
61211344110114213
764331052004245
oct11272476526641
92245036601660
10643523325345
11228a0a16006a
12a48767ab969
13488b7955264
142320a762425
1511b15d1cd30
hex95d4faada1

643523325345 has 128 divisors (see below), whose sum is σ = 1200625873920. Its totient is φ = 326414499840.

The previous prime is 643523325337. The next prime is 643523325421. The reversal of 643523325345 is 543523325346.

643523325345 is a `hidden beast` number, since 6 + 4 + 3 + 523 + 32 + 53 + 45 = 666.

It is not a de Polignac number, because 643523325345 - 23 = 643523325337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 643523325345.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622964949 + ... + 622965981.

It is an arithmetic number, because the mean of its divisors is an integer number (9379889640).

Almost surely, 2643523325345 is an apocalyptic number.

It is an amenable number.

643523325345 is a deficient number, since it is larger than the sum of its proper divisors (557102548575).

643523325345 is a wasteful number, since it uses less digits than its factorization.

643523325345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2018 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 45.

Subtracting from 643523325345 its reverse (543523325346), we obtain a palindrome (99999999999).

The spelling of 643523325345 in words is "six hundred forty-three billion, five hundred twenty-three million, three hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 313 345 621 641 939 1033 1035 1565 1923 2817 3099 3105 3205 4695 5165 5769 7199 8451 9297 9615 14085 14743 15495 17307 21597 23759 27891 28845 35995 42255 44229 46485 64791 71277 73715 86535 107985 118795 132687 139455 194373 200633 213831 221145 323329 323955 356385 398061 601899 641493 662153 663435 969987 971865 1003165 1069155 1616645 1805697 1986459 1990305 2909961 3009495 3207465 3310765 4614559 4849935 5417091 5959377 7436567 8729883 9028485 9932295 13843677 14549805 15229519 17878131 22309701 23072795 27085455 29796885 37182835 41531031 43649415 45688557 66929103 69218385 76147595 89390655 111548505 124593093 137065671 200787309 207253889 207655155 228442785 334645515 411197013 621761667 622965465 685328355 1003936545 1036269445 1865285001 2055985065 3108808335 4766839447 5595855003 9326425005 14300518341 23834197235 27979275015 42901555023 71502591705 128704665069 214507775115 643523325345