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639746322022296 = 233647873
BaseRepresentation
bin1001000101110110001000110…
…0010001010011111110011000
310002220011011002010221201000000
42101131202030101103332120
51132323100431414203141
610144343223021213000
7251516101150151106
oct22135421421237630
93086134063851000
10639746322022296
1117592a9896a1775
125b903158a01160
13215c7a86032628
14b3d9c5c688c76
154de640b2595b6
hex245d88c453f98

639746322022296 has 112 divisors (see below), whose sum is σ = 1798839587626200. Its totient is φ = 213204226530096.

The previous prime is 639746322022273. The next prime is 639746322022303. The reversal of 639746322022296 is 692220223647936.

The cubic root of 639746322022296 is 86166.

It is a perfect power (a cube), and thus also a powerful number.

639746322022296 is a `hidden beast` number, since 6 + 39 + 74 + 6 + 3 + 220 + 22 + 296 = 666.

It is a super-2 number, since 2×6397463220222962 (a number of 30 digits) contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 133642429615 + ... + 133642434401.

Almost surely, 2639746322022296 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 639746322022296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899419793813100).

639746322022296 is an abundant number, since it is smaller than the sum of its proper divisors (1159093265603904).

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

639746322022296 is an frugal number, since it uses more digits than its factorization.

639746322022296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14385 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 639746322022296 in words is "six hundred thirty-nine trillion, seven hundred forty-six billion, three hundred twenty-two million, twenty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 4787 5832 9574 14361 19148 28722 38296 43083 57444 86166 114888 129249 172332 258498 344664 387747 516996 775494 1033992 1163241 1550988 2326482 3101976 3489723 4652964 6979446 9305928 13958892 22915369 27917784 45830738 68746107 91661476 137492214 183322952 206238321 274984428 412476642 549968856 618714963 824953284 1237429926 1649906568 1856144889 2474859852 3712289778 4949719704 5568434667 7424579556 11136869334 14849159112 16705304001 22273738668 33410608002 44547477336 66821216004 109695871403 133642432008 219391742806 329087614209 438783485612 658175228418 877566971224 987262842627 1316350456836 1974525685254 2632700913672 2961788527881 3949051370508 5923577055762 7898102741016 8885365583643 11847154111524 17770731167286 23694308223048 26656096750929 35541462334572 53312193501858 71082924669144 79968290252787 106624387003716 159936580505574 213248774007432 319873161011148 639746322022296