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642653195520 = 2835723908229
BaseRepresentation
bin10010101101000010001…
…11011000110100000000
32021102210121100220000110
421112201013120310000
541012123204224040
61211121504151320
764300355013510
oct11264107306400
92242717326013
10642653195520
11228602a7a706
12a4673308540
13487a95b973b
1423166d7d840
1511ab4741980
hex95a11d8d00

642653195520 has 144 divisors (see below), whose sum is σ = 2345684261760. Its totient is φ = 146892152832.

The previous prime is 642653195441. The next prime is 642653195633. The reversal of 642653195520 is 25591356246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 642653195520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11927235 + ... + 11980994.

It is an arithmetic number, because the mean of its divisors is an integer number (16289474040).

Almost surely, 2642653195520 is an apocalyptic number.

642653195520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642653195520 is an abundant number, since it is smaller than the sum of its proper divisors (1703031066240).

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

642653195520 is a wasteful number, since it uses less digits than its factorization.

642653195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23908260 (or 23908246 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 642653195520 in words is "six hundred forty-two billion, six hundred fifty-three million, one hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 23908229 47816458 71724687 95632916 119541145 143449374 167357603 191265832 239082290 286898748 334715206 358623435 382531664 478164580 502072809 573797496 669430412 717246870 765063328 836788015 956329160 1004145618 1147594992 1338860824 1434493740 1530126656 1673576030 1912658320 2008291236 2295189984 2510364045 2677721648 2868987480 3060253312 3347152060 3825316640 4016582472 4590379968 5020728090 5355443296 5737974960 6120506624 6694304120 7650633280 8033164944 9180759936 10041456180 10710886592 11475949920 13388608240 15301266560 16066329888 18361519872 20082912360 21421773184 22951899840 26777216480 30602533120 32132659776 40165824720 42843546368 45903799680 53554432960 64265319552 80331649440 91807599360 107108865920 128530639104 160663298880 214217731840 321326597760 642653195520