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640142364560 = 245232915237877
BaseRepresentation
bin10010101000010110111…
…01010100111110010000
32021012022121210110110012
421110023131110332100
540442002421131220
61210024412254052
764151216214566
oct11241335247620
92235277713405
10640142364560
112275347491a6
12a4092471328
134849936744a
1422da970da36
15119b90c6ac5
hex950b754f90

640142364560 has 160 divisors (see below), whose sum is σ = 1607853162240. Its totient is φ = 236293105664.

The previous prime is 640142364541. The next prime is 640142364569. The reversal of 640142364560 is 65463241046.

It is not an unprimeable number, because it can be changed into a prime (640142364569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81263342 + ... + 81271218.

It is an arithmetic number, because the mean of its divisors is an integer number (10049082264).

Almost surely, 2640142364560 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 640142364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803926581120).

640142364560 is an abundant number, since it is smaller than the sum of its proper divisors (967710797680).

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

640142364560 is a wasteful number, since it uses less digits than its factorization.

640142364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 640142364560 in words is "six hundred forty billion, one hundred forty-two million, three hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1523 1840 2320 2668 3046 3335 5336 6092 6670 7615 7877 10672 12184 13340 15230 15754 24368 26680 30460 31508 35029 39385 44167 53360 60920 63016 70058 78770 88334 121840 126032 140116 157540 175145 176668 181171 220835 228433 280232 315080 350290 353336 362342 441670 456866 560464 630160 700580 706672 724684 883340 905855 913732 1015841 1142165 1401160 1449368 1766680 1811710 1827464 2031682 2284330 2802320 2898736 3533360 3623420 3654928 4063364 4568660 5079205 5253959 7246840 8126728 9137320 10158410 10507918 11996671 14493680 16253456 18274640 20316820 21015836 23993342 26269795 40633640 42031672 47986684 52539590 59983355 81267280 84063344 95973368 105079180 119966710 191946736 210158360 239933420 275923433 347903459 420316720 479866840 551846866 695806918 959733680 1103693732 1379617165 1391613836 1739517295 2207387464 2759234330 2783227672 3479034590 4414774928 5518468660 5566455344 6958069180 8001779557 11036937320 13916138360 16003559114 22073874640 27832276720 32007118228 40008897785 64014236456 80017795570 128028472912 160035591140 320071182280 640142364560