Search a number
-
+
19523221168 = 24113113726119
BaseRepresentation
bin10010001011101011…
…001011011010110000
31212101121101101122111
4102023223023122300
5304440421034133
612545134215104
71260542433103
oct221353133260
955347341574
1019523221168
118309393030
12394a354494
131ac1993199
14d32c5673a
15793e8d1cd
hex48bacb6b0

19523221168 has 80 divisors (see below), whose sum is σ = 42908682240. Its totient is φ = 8524915200.

The previous prime is 19523221147. The next prime is 19523221219. The reversal of 19523221168 is 86112232591.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19523221168.

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 15 ways as a sum of consecutive naturals, for example, 734413 + ... + 760531.

It is an arithmetic number, because the mean of its divisors is an integer number (536358528).

Almost surely, 219523221168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19523221168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454341120).

19523221168 is an abundant number, since it is smaller than the sum of its proper divisors (23385461072).

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

19523221168 is a wasteful number, since it uses less digits than its factorization.

19523221168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26306 (or 26300 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The spelling of 19523221168 in words is "nineteen billion, five hundred twenty-three million, two hundred twenty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 137 176 248 274 341 496 548 682 1096 1364 1507 2192 2728 3014 4247 5456 6028 8494 12056 16988 24112 26119 33976 46717 52238 67952 93434 104476 186868 208952 287309 373736 417904 574618 747472 809689 1149236 1619378 2298472 3238756 3578303 4596944 6477512 7156606 8906579 12955024 14313212 17813158 28626424 35626316 39361333 57252848 71252632 78722666 110927393 142505264 157445332 221854786 314890664 443709572 629781328 887419144 1220201323 1774838288 2440402646 4880805292 9761610584 19523221168