Search a number
-
+
644533464468 = 2231737526116231
BaseRepresentation
bin10010110000100010011…
…00000010110110010100
32021121122122102110010010
421120101030002312110
541030001031330333
61212032233000220
764365066024255
oct11302114026624
92247578373103
10644533464468
11229388379593
12a4ab8b53070
1348a1900240a
14232a498cb2c
1511b74853563
hex9611302d94

644533464468 has 96 divisors (see below), whose sum is σ = 1635825639168. Its totient is φ = 196692019200.

The previous prime is 644533464371. The next prime is 644533464469. The reversal of 644533464468 is 864464335446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644533464469) 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, 39701913 + ... + 39718143.

It is an arithmetic number, because the mean of its divisors is an integer number (17039850408).

Almost surely, 2644533464468 is an apocalyptic number.

644533464468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644533464468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817912819584).

644533464468 is an abundant number, since it is smaller than the sum of its proper divisors (991292174700).

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

644533464468 is a wasteful number, since it uses less digits than its factorization.

644533464468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21553 (or 21551 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 57.

The spelling of 644533464468 in words is "six hundred forty-four billion, five hundred thirty-three million, four hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 5261 7548 10522 15783 16231 21044 31566 32462 48693 63132 64924 89437 97386 178874 194657 194772 268311 275927 357748 389314 536622 551854 583971 600547 778628 827781 1073244 1103708 1167942 1201094 1655562 1801641 2335884 2402188 3309169 3311124 3603282 6618338 7206564 9927507 10209299 13236676 19855014 20418598 30627897 39710028 40837196 61255794 85391291 122511588 170782582 256173873 341565164 512347746 1024695492 1451651947 2903303894 3159477767 4354955841 5806607788 6318955534 8709911682 9478433301 12637911068 17419823364 18956866602 37913733204 53711122039 107422244078 161133366117 214844488156 322266732234 644533464468