Search a number
-
+
163161556992 = 21132719231113
BaseRepresentation
bin1001011111110100101…
…1111100100000000000
3120121011000020212212100
42113331023330200000
510133123324310432
6202542210230400
714534203231350
oct2277513744000
9517130225770
10163161556992
1163218499785
1227756585400
13125032684c5
147c7b772b60
15439e2e507c
hex25fd2fc800

163161556992 has 864 divisors, whose sum is σ = 591925501440. Its totient is φ = 42361159680.

The previous prime is 163161556967. The next prime is 163161557099. The reversal of 163161556992 is 299655161361.

163161556992 is a `hidden beast` number, since 1 + 63 + 1 + 6 + 15 + 569 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1443907528 + ... + 1443907640.

It is an arithmetic number, because the mean of its divisors is an integer number (685098960).

Almost surely, 2163161556992 is an apocalyptic number.

163161556992 is a gapful number since it is divisible by the number (12) 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 163161556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295962750720).

163161556992 is an abundant number, since it is smaller than the sum of its proper divisors (428763944448).

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

163161556992 is a wasteful number, since it uses less digits than its factorization.

163161556992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 175 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 163161556992 in words is "one hundred sixty-three billion, one hundred sixty-one million, five hundred fifty-six thousand, nine hundred ninety-two".