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644101416 = 233373131361
BaseRepresentation
bin100110011001000…
…011010100101000
31122212222202001000
4212121003110220
52304342221131
6143525155000
721650525460
oct4631032450
91585882030
10644101416
1130063aa22
1215b85ba60
13a359a1ca
1461786ba0
153b82ece6
hex26643528

644101416 has 128 divisors (see below), whose sum is σ = 2052806400. Its totient is φ = 183306240.

The previous prime is 644101399. The next prime is 644101427. The reversal of 644101416 is 614101446.

644101416 is a `hidden beast` number, since 644 + 1 + 0 + 1 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 644101416.

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, 472576 + ... + 473936.

It is an arithmetic number, because the mean of its divisors is an integer number (16037550).

Almost surely, 2644101416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644101416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026403200).

644101416 is an abundant number, since it is smaller than the sum of its proper divisors (1408704984).

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

644101416 is a wasteful number, since it uses less digits than its factorization.

644101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 644101416 is about 25379.1531773619. The cubic root of 644101416 is about 863.6108394021.

The spelling of 644101416 in words is "six hundred forty-four million, one hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 313 378 504 626 756 939 1252 1361 1512 1878 2191 2504 2722 2817 3756 4083 4382 5444 5634 6573 7512 8166 8451 8764 9527 10888 11268 12249 13146 16332 16902 17528 19054 19719 22536 24498 26292 28581 32664 33804 36747 38108 39438 48996 52584 57162 59157 67608 73494 76216 78876 85743 97992 114324 118314 146988 157752 171486 228648 236628 257229 293976 342972 425993 473256 514458 685944 851986 1028916 1277979 1703972 2057832 2555958 2981951 3407944 3833937 5111916 5963902 7667874 8945853 10223832 11501811 11927804 15335748 17891706 23003622 23855608 26837559 30671496 35783412 46007244 53675118 71566824 80512677 92014488 107350236 161025354 214700472 322050708 644101416