Search a number
-
+
17242431372 = 22321925208233
BaseRepresentation
bin10000000011101110…
…101001111110001100
31122111122200021020100
4100003232221332030
5240303030300442
611530541051100
71150166151135
oct200356517614
948448607210
1017242431372
1173489a2991
123412556a90
13181a2b5b1a
14b97d88c8c
156adb1384c
hex403ba9f8c

17242431372 has 36 divisors (see below), whose sum is σ = 45878985880. Its totient is φ = 5444978112.

The previous prime is 17242431343. The next prime is 17242431397. The reversal of 17242431372 is 27313424271.

17242431372 is a `hidden beast` number, since 1 + 7 + 242 + 43 + 1 + 372 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 12603433 + ... + 12604800.

Almost surely, 217242431372 is an apocalyptic number.

17242431372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

17242431372 is an abundant number, since it is smaller than the sum of its proper divisors (28636554508).

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

17242431372 is a wasteful number, since it uses less digits than its factorization.

17242431372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25208262 (or 25208257 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The spelling of 17242431372 in words is "seventeen billion, two hundred forty-two million, four hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 25208233 50416466 75624699 100832932 151249398 226874097 302498796 453748194 478956427 907496388 957912854 1436869281 1915825708 2873738562 4310607843 5747477124 8621215686 17242431372