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19850555664 = 24325921992
BaseRepresentation
bin10010011111001011…
…110111000100010000
31220020102022201011100
4102133023313010100
5311123220240124
613041430144400
71301625640062
oct223713670420
956212281140
1019850555664
118467137305
123a1bab2100
131b44741934
14d64503732
157b2a9b1c9
hex49f2f7110

19850555664 has 135 divisors (see below), whose sum is σ = 56796942423. Its totient is φ = 6472014912.

The previous prime is 19850555657. The next prime is 19850555671. The reversal of 19850555664 is 46655505891.

The square root of 19850555664 is 140892.

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

19850555664 is a `hidden beast` number, since 1 + 9 + 85 + 0 + 5 + 556 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (19850555657) and next prime (19850555671).

It is a self number, because there is not a number n which added to its sum of digits gives 19850555664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99751437 + ... + 99751635.

Almost surely, 219850555664 is an apocalyptic number.

19850555664 is the 140892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19850555664

19850555664 is an abundant number, since it is smaller than the sum of its proper divisors (36946386759).

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

19850555664 is an equidigital number, since it uses as much as digits as its factorization.

19850555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 19850555664 in words is "nineteen billion, eight hundred fifty million, five hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 199 236 354 398 472 531 597 708 796 944 1062 1194 1416 1592 1791 2124 2388 2832 3184 3481 3582 4248 4776 6962 7164 8496 9552 10443 11741 13924 14328 20886 23482 27848 28656 31329 35223 39601 41772 46964 55696 62658 70446 79202 83544 93928 105669 118803 125316 140892 158404 167088 187856 211338 237606 250632 281784 316808 356409 422676 475212 501264 563568 633616 692719 712818 845352 950424 1385438 1425636 1690704 1900848 2078157 2336459 2770876 2851272 4156314 4672918 5541752 5702544 6234471 7009377 8312628 9345836 11083504 12468942 14018754 16625256 18691672 21028131 24937884 28037508 33250512 37383344 42056262 49875768 56075016 84112524 99751536 112150032 137851081 168225048 275702162 336450096 413553243 551404324 827106486 1102808648 1240659729 1654212972 2205617296 2481319458 3308425944 4962638916 6616851888 9925277832 19850555664