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648404063052084 = 2232171831357854189
BaseRepresentation
bin1001001101101110000101010…
…1110110010110000100110100
310011000210211020000010101112100
42103123201111312112010310
51134441423010120131314
610215012414150222100
7253401435065526153
oct22333412566260464
93130724200111470
10648404063052084
11178668689808829
1260881074954930
1321aa53190034b1
14b618cd1a3359a
154ee67272c5c09
hex24db855d96134

648404063052084 has 72 divisors (see below), whose sum is σ = 1735529199211080. Its totient is φ = 203409771005952.

The previous prime is 648404063052077. The next prime is 648404063052103. The reversal of 648404063052084 is 480250360404846.

It is a happy number.

648404063052084 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 0 + 4 + 0 + 6 + 30 + 520 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146636357422500 + 501767705629584 = 12109350^2 + 22400172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 648404063052084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17719539 + ... + 40134650.

It is an arithmetic number, because the mean of its divisors is an integer number (24104572211265).

Almost surely, 2648404063052084 is an apocalyptic number.

It is an amenable number.

648404063052084 is an abundant number, since it is smaller than the sum of its proper divisors (1087125136158996).

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

648404063052084 is a wasteful number, since it uses less digits than its factorization.

648404063052084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57872529 (or 57872524 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 648404063052084 in words is "six hundred forty-eight trillion, four hundred four billion, sixty-three million, fifty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 18313 36626 54939 73252 109878 164817 219756 311321 329634 622642 659268 933963 1245284 1867926 2801889 3735852 5603778 11207556 57854189 115708378 173562567 231416756 347125134 520687701 694250268 983521213 1041375402 1967042426 2082750804 2950563639 3934084852 5901127278 8851690917 11802254556 17703381834 35406763668 1059483763157 2118967526314 3178451289471 4237935052628 6356902578942 9535353868413 12713805157884 18011223973669 19070707736826 36022447947338 38141415473652 54033671921007 72044895894676 108067343842014 162101015763021 216134687684028 324202031526042 648404063052084