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644463010036152 = 2332171573353643739
BaseRepresentation
bin1001001010001000101011110…
…0110010001011100110111000
310010111212001200020120202001100
42102202022330302023212320
51133432340221032124102
610202354115234451400
7252513626112601326
oct22242127462134670
93114761606522040
10644463010036152
1117738925605a81a
12603452ba133b60
132187a7a77549b8
14b520267398d16
154e78e663b8a1c
hex24a22bcc8b9b8

644463010036152 has 96 divisors (see below), whose sum is σ = 1859863745329200. Its totient is φ = 200896674481152.

The previous prime is 644463010036127. The next prime is 644463010036187. The reversal of 644463010036152 is 251630010364446.

644463010036152 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 630 + 1 + 0 + 0 + 3 + 6 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 644463010036098 and 644463010036107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676629702 + ... + 1677014037.

Almost surely, 2644463010036152 is an apocalyptic number.

It is an amenable number.

644463010036152 is an abundant number, since it is smaller than the sum of its proper divisors (1215400735293048).

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

644463010036152 is a wasteful number, since it uses less digits than its factorization.

644463010036152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353643925 (or 3353643918 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 644463010036152 in words is "six hundred forty-four trillion, four hundred sixty-three billion, ten million, thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 157 204 306 314 408 471 612 628 942 1224 1256 1413 1884 2669 2826 3768 5338 5652 8007 10676 11304 16014 21352 24021 32028 48042 64056 96084 192168 3353643739 6707287478 10060931217 13414574956 20121862434 26829149912 30182793651 40243724868 57011943563 60365587302 80487449736 114023887126 120731174604 171035830689 228047774252 241462349208 342071661378 456095548504 513107492067 526522067023 684143322756 1026214984134 1053044134046 1368286645512 1579566201069 2052429968268 2106088268092 3159132402138 4104859936536 4212176536184 4738698603207 6318264804276 8950875139391 9477397206414 12636529608552 17901750278782 18954794412828 26852625418173 35803500557564 37909588825656 53705250836346 71607001115128 80557876254519 107410501672692 161115752509038 214821003345384 322231505018076 644463010036152