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644166661446 = 233711154922237
BaseRepresentation
bin10010101111110110101…
…00110011010101000110
32021120201002012220222000
421113323110303111012
541023223131131241
61211532011050130
764353023164560
oct11277324632506
92246632186860
10644166661446
1122920a317aa0
12a4a16140946
134898b014cc9
142326bd8a330
1511b5254aeb6
hex95fb533546

644166661446 has 64 divisors (see below), whose sum is σ = 1784704181760. Its totient is φ = 167316014880.

The previous prime is 644166661441. The next prime is 644166661459.

644166661446 is nontrivially palindromic in base 10.

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 = 644166661392 and 644166661401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644166661441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77456961 + ... + 77465276.

It is an arithmetic number, because the mean of its divisors is an integer number (27886002840).

Almost surely, 2644166661446 is an apocalyptic number.

644166661446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

644166661446 is an abundant number, since it is smaller than the sum of its proper divisors (1140537520314).

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

644166661446 is a wasteful number, since it uses less digits than its factorization.

644166661446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154922266 (or 154922260 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 644166661446 in words is "six hundred forty-four billion, one hundred sixty-six million, six hundred sixty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 154922237 309844474 464766711 929533422 1084455659 1394300133 1704144607 2168911318 2788600266 3253366977 3408289214 4182900399 5112433821 6506733954 8365800798 9760100931 10224867642 11929012249 15337301463 19520201862 23858024498 29280302793 30674602926 35787036747 46011904389 58560605586 71574073494 92023808778 107361110241 214722220482 322083330723 644166661446