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644044312464 = 24375979740763
BaseRepresentation
bin10010101111101000000…
…10000100111110010000
32021120101112222221201020
421113310002010332100
541023000320444324
61211511520435440
764350006221160
oct11276402047620
92246345887636
10644044312464
11229157251433
12a49a1178b80
134896b877b67
1423259a1c5a0
1511b4692e679
hex95f4084f90

644044312464 has 160 divisors (see below), whose sum is σ = 1936166077440. Its totient is φ = 180662401536.

The previous prime is 644044312451. The next prime is 644044312489. The reversal of 644044312464 is 464213440446.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15779347 + ... + 15820109.

It is an arithmetic number, because the mean of its divisors is an integer number (12101037984).

Almost surely, 2644044312464 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 644044312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968083038720).

644044312464 is an abundant number, since it is smaller than the sum of its proper divisors (1292121764976).

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

644044312464 is a wasteful number, since it uses less digits than its factorization.

644044312464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41637 (or 41631 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 644044312464 in words is "six hundred forty-four billion, forty-four million, three hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 797 826 944 1239 1416 1594 1652 2391 2478 2832 3188 3304 4782 4956 5579 6376 6608 9564 9912 11158 12752 16737 19128 19824 22316 33474 38256 40763 44632 47023 66948 81526 89264 94046 122289 133896 141069 163052 188092 244578 267792 282138 285341 326104 329161 376184 489156 564276 570682 652208 658322 752368 856023 978312 987483 1128552 1141364 1316644 1712046 1956624 1974966 2257104 2282728 2405017 2633288 3424092 3949932 4565456 4810034 5266576 6848184 7215051 7899864 9620068 13696368 14430102 15799728 16835119 19240136 28860204 32488111 33670238 38480272 50505357 57720408 64976222 67340476 97464333 101010714 115440816 129952444 134680952 194928666 202021428 227416777 259904888 269361904 389857332 404042856 454833554 519809776 682250331 779714664 808085712 909667108 1364500662 1559429328 1819334216 1916798549 2729001324 3638668432 3833597098 5458002648 5750395647 7667194196 10916005296 11500791294 13417589843 15334388392 23001582588 26835179686 30668776784 40252769529 46003165176 53670359372 80505539058 92006330352 107340718744 161011078116 214681437488 322022156232 644044312464