Search a number
-
+
19857513520 = 2451324334157
BaseRepresentation
bin10010011111100110…
…011001110000110000
31220020220102012112201
4102133212121300300
5311132010413040
613042235232544
71302042036265
oct223746316060
956226365481
1019857513520
1184700598a9
123a222a8754
131b46009900
14d653d526c
157b34c2a9a
hex49f999c30

19857513520 has 120 divisors (see below), whose sum is σ = 51157480176. Its totient is φ = 7161283584.

The previous prime is 19857513499. The next prime is 19857513521. The reversal of 19857513520 is 2531575891.

It is not an unprimeable number, because it can be changed into a prime (19857513521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 564282 + ... + 598438.

Almost surely, 219857513520 is an apocalyptic number.

19857513520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19857513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25578740088).

19857513520 is an abundant number, since it is smaller than the sum of its proper divisors (31299966656).

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

19857513520 is a wasteful number, since it uses less digits than its factorization.

19857513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34239 (or 34220 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 19857513520 in words is "nineteen billion, eight hundred fifty-seven million, five hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 169 172 208 215 260 338 344 430 520 559 676 688 845 860 1040 1118 1352 1690 1720 2236 2704 2795 3380 3440 4472 5590 6760 7267 8944 11180 13520 14534 22360 29068 34157 36335 44720 58136 68314 72670 116272 136628 145340 170785 273256 290680 341570 444041 546512 581360 683140 888082 1366280 1468751 1776164 2220205 2732560 2937502 3552328 4440410 5772533 5875004 7104656 7343755 8880820 11545066 11750008 14687510 17761640 19093763 23090132 23500016 28862665 29375020 35523280 38187526 46180264 57725330 58750040 76375052 92360528 95468815 115450660 117500080 152750104 190937630 230901320 248218919 305500208 381875260 461802640 496437838 763750520 992875676 1241094595 1527501040 1985751352 2482189190 3971502704 4964378380 9928756760 19857513520