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643243010016 = 253192315332833
BaseRepresentation
bin10010101110001000100…
…01010110011111100000
32021111022201012120101210
421113010101112133200
541014330202310031
61211300214030120
764321106241345
oct11270421263740
92244281176353
10643243010016
11228885a01002
12a47b8948340
134887185a1b9
14231c14347cc
1511aeb3eb746
hex95c44567e0

643243010016 has 96 divisors (see below), whose sum is σ = 1854659600640. Its totient is φ = 194297647104.

The previous prime is 643243010009. The next prime is 643243010099. The reversal of 643243010016 is 610010342346.

It is a tau number, because it is divible by the number of its divisors (96).

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, 7624465 + ... + 7708368.

It is an arithmetic number, because the mean of its divisors is an integer number (19319370840).

Almost surely, 2643243010016 is an apocalyptic number.

It is an amenable number.

643243010016 is an abundant number, since it is smaller than the sum of its proper divisors (1211416590624).

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

643243010016 is a wasteful number, since it uses less digits than its factorization.

643243010016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15332888 (or 15332880 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

It can be divided in two parts, 6432430 and 10016, that added together give a palindrome (6442446).

The spelling of 643243010016 in words is "six hundred forty-three billion, two hundred forty-three million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 10488 13984 20976 41952 15332833 30665666 45998499 61331332 91996998 122662664 183993996 245325328 291323827 352655159 367987992 490650656 582647654 705310318 735975984 873971481 1057965477 1165295308 1410620636 1471951968 1747942962 2115930954 2330590616 2821241272 3495885924 4231861908 4661181232 5642482544 6700448021 6991771848 8463723816 9322362464 11284965088 13400896042 13983543696 16927447632 20101344063 26801792084 27967087392 33854895264 40202688126 53603584168 80405376252 107207168336 160810752504 214414336672 321621505008 643243010016