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644931139446 = 233117731404583
BaseRepresentation
bin10010110001010001110…
…01000011011101110110
32021122200100201102122000
421120220321003131312
541031304332430241
61212135520320130
764410665143446
oct11305071033566
92248610642560
10644931139446
112295718a66a0
12a4baa173046
1348a8050b659
142330170a126
1511b99707eb6
hex9628e43776

644931139446 has 64 divisors (see below), whose sum is σ = 1565493143040. Its totient is φ = 195180714720.

The previous prime is 644931139427. The next prime is 644931139453.

644931139446 is a `hidden beast` number, since 64 + 4 + 9 + 3 + 1 + 139 + 446 = 666.

644931139446 is nontrivially palindromic in base 10.

644931139446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 644931139392 and 644931139401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243130 + ... + 1161453.

It is an arithmetic number, because the mean of its divisors is an integer number (24460830360).

Almost surely, 2644931139446 is an apocalyptic number.

644931139446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

644931139446 is an abundant number, since it is smaller than the sum of its proper divisors (920562003594).

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

644931139446 is a wasteful number, since it uses less digits than its factorization.

644931139446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405378 (or 1405372 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 644931139446 in words is "six hundred forty-four billion, nine hundred thirty-one million, one hundred thirty-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 773 1546 2319 4638 6957 8503 13914 17006 20871 25509 41742 51018 76527 153054 229581 459162 1404583 2809166 4213749 8427498 12641247 15450413 25282494 30900826 37923741 46351239 75847482 92702478 139053717 278107434 417161151 834322302 1085742659 2171485318 3257227977 6514455954 9771683931 11943169249 19543367862 23886338498 29315051793 35829507747 58630103586 71659015494 107488523241 214977046482 322465569723 644931139446