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644463364446 = 233111084955159
BaseRepresentation
bin10010110000011010000…
…00101000100101011110
32021121110202111222222000
421120031000220211132
541024330110130241
61212021250303130
764363255133106
oct11301500504536
92247422458860
10644463364446
1122935184a390
12a4a99587aa6
1348a0762a205
1423299542206
1511b6d607eb6
hex960d02895e

644463364446 has 32 divisors (see below), whose sum is σ = 1562335430400. Its totient is φ = 195291928440.

The previous prime is 644463364403. The next prime is 644463364469.

644463364446 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6444633644462 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 644463364392 and 644463364401.

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, 542476986 + ... + 542478173.

It is an arithmetic number, because the mean of its divisors is an integer number (48822982200).

Almost surely, 2644463364446 is an apocalyptic number.

644463364446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

644463364446 is an abundant number, since it is smaller than the sum of its proper divisors (917872065954).

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

644463364446 is a wasteful number, since it uses less digits than its factorization.

644463364446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084955181 (or 1084955175 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 644463364446 in words is "six hundred forty-four billion, four hundred sixty-three million, three hundred sixty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1084955159 2169910318 3254865477 6509730954 9764596431 11934506749 19529192862 23869013498 29293789293 35803520247 58587578586 71607040494 107410560741 214821121482 322231682223 644463364446