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643344444443346 = 23377936682885417
BaseRepresentation
bin1001001001000111100100110…
…1000101000100101011010010
310010100220010110111002010211020
42102101321031011010223102
51133311023410234141341
610200140205132100310
7252340050034125132
oct22221711505045322
93110803414063736
10643344444443346
11176a97934a2a0a8
12601a4568904696
13217c9175509569
14b4c2074316ac2
154e59ceaa8b566
hex2491e4d144ad2

643344444443346 has 32 divisors (see below), whose sum is σ = 1338191660048640. Its totient is φ = 206011084496256.

The previous prime is 643344444443219. The next prime is 643344444443369.

643344444443346 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6433444444433462 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 643344444443346.

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, 18341425171 + ... + 18341460246.

It is an arithmetic number, because the mean of its divisors is an integer number (41818489376520).

Almost surely, 2643344444443346 is an apocalyptic number.

643344444443346 is an abundant number, since it is smaller than the sum of its proper divisors (694847215605294).

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

643344444443346 is a wasteful number, since it uses less digits than its factorization.

643344444443346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36682885538.

The product of its digits is 764411904, while the sum is 60.

The spelling of 643344444443346 in words is "six hundred forty-three trillion, three hundred forty-four billion, four hundred forty-four million, four hundred forty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 37 74 79 111 158 222 237 474 2923 5846 8769 17538 36682885417 73365770834 110048656251 220097312502 1357266760429 2714533520858 2897947947943 4071800281287 5795895895886 8143600562574 8693843843829 17387687687658 107224074073891 214448148147782 321672222221673 643344444443346