Search a number
-
+
163340703468 = 2233231491732551
BaseRepresentation
bin1001100000011111011…
…1010101011011101100
3120121121111100110122000
42120013313111123230
510134010210002333
6203012050052300
714541510033315
oct2300767253354
9517544313560
10163340703468
11632aa629118
12277a657a090
1312531400a37
147c9748760c
1543aedd0713
hex2607dd56ec

163340703468 has 192 divisors, whose sum is σ = 447600384000. Its totient is φ = 51410937600.

The previous prime is 163340703457. The next prime is 163340703521. The reversal of 163340703468 is 864307043361.

163340703468 is a `hidden beast` number, since 1 + 633 + 4 + 0 + 7 + 0 + 3 + 4 + 6 + 8 = 666.

It is a super-2 number, since 2×1633407034682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64028793 + ... + 64031343.

It is an arithmetic number, because the mean of its divisors is an integer number (2331252000).

Almost surely, 2163340703468 is an apocalyptic number.

163340703468 is a gapful number since it is divisible by the number (18) 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 163340703468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223800192000).

163340703468 is an abundant number, since it is smaller than the sum of its proper divisors (284259680532).

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

163340703468 is a wasteful number, since it uses less digits than its factorization.

163340703468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 163340703468 in words is "one hundred sixty-three billion, three hundred forty million, seven hundred three thousand, four hundred sixty-eight".