Search a number
-
+
19718977960 = 2351131721787
BaseRepresentation
bin10010010111010101…
…111011100110101000
31212220020201212111001
4102113111323212220
5310341024243320
613020410044344
71265440355443
oct222725734650
955806655431
1019718977960
1183a9938000
1239a3a196b4
131b233c2cc6
14d50c5265a
157a625a20a
hex49757b9a8

19718977960 has 128 divisors (see below), whose sum is σ = 51674163840. Its totient is φ = 6748431360.

The previous prime is 19718977951. The next prime is 19718977997. The reversal of 19718977960 is 6977981791.

It is a junction number, because it is equal to n+sod(n) for n = 19718977892 and 19718977901.

It is an unprimeable number.

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, 894187 + ... + 915973.

It is an arithmetic number, because the mean of its divisors is an integer number (403704405).

Almost surely, 219718977960 is an apocalyptic number.

19718977960 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 19718977960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25837081920).

19718977960 is an abundant number, since it is smaller than the sum of its proper divisors (31955185880).

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

19718977960 is a wasteful number, since it uses less digits than its factorization.

19718977960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21848 (or 21822 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 64.

The spelling of 19718977960 in words is "nineteen billion, seven hundred eighteen million, nine hundred seventy-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1331 1496 1870 2057 2420 2662 3740 4114 4840 5324 6655 7480 8228 10285 10648 13310 16456 20570 21787 22627 26620 41140 43574 45254 53240 82280 87148 90508 108935 113135 174296 181016 217870 226270 239657 370379 435740 452540 479314 740758 871480 905080 958628 1198285 1481516 1851895 1917256 2396570 2636227 2963032 3703790 4074169 4793140 5272454 7407580 8148338 9586280 10544908 13181135 14815160 16296676 20370845 21089816 26362270 28998497 32593352 40741690 44815859 52724540 57996994 81483380 89631718 105449080 115993988 144992485 162966760 179263436 224079295 231987976 289984970 358526872 448158590 492974449 579969940 896317180 985948898 1159939880 1792634360 1971897796 2464872245 3943795592 4929744490 9859488980 19718977960