Search a number
-
+
18840168960 = 293519129113
BaseRepresentation
bin10001100010111101…
…100010101000000000
31210122000002202011120
4101202331202220000
5302041040401320
612353254112240
71234606536204
oct214275425000
953560082146
1018840168960
117a98869878
12379964b680
131a13308b92
14caa250b04
15754017440
hex462f62a00

18840168960 has 160 divisors (see below), whose sum is σ = 63400138560. Its totient is φ = 4759584768.

The previous prime is 18840168943. The next prime is 18840169013. The reversal of 18840168960 is 6986104881.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81364 + ... + 210476.

It is an arithmetic number, because the mean of its divisors is an integer number (396250866).

Almost surely, 218840168960 is an apocalyptic number.

18840168960 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 18840168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31700069280).

18840168960 is an abundant number, since it is smaller than the sum of its proper divisors (44559969600).

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

18840168960 is a wasteful number, since it uses less digits than its factorization.

18840168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129158 (or 129142 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 18840168960 in words is "eighteen billion, eight hundred forty million, one hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9728 12160 14592 18240 24320 29184 36480 48640 72960 129113 145920 258226 387339 516452 645565 774678 1032904 1291130 1549356 1936695 2065808 2453147 2582260 3098712 3873390 4131616 4906294 5164520 6197424 7359441 7746780 8263232 9812588 10329040 12265735 12394848 14718882 15493560 16526464 19625176 20658080 24531470 24789696 29437764 30987120 33052928 36797205 39250352 41316160 49062940 49579392 58875528 61974240 66105856 73594410 78500704 82632320 98125880 99158784 117751056 123948480 147188820 157001408 165264640 196251760 198317568 235502112 247896960 294377640 314002816 330529280 392503520 471004224 495793920 588755280 628005632 785007040 942008448 991587840 1177510560 1256011264 1570014080 1884016896 2355021120 3140028160 3768033792 4710042240 6280056320 9420084480 18840168960