Search a number
-
+
189070163453808 = 243271332329314129
BaseRepresentation
bin101010111111010101010011…
…111011100010011101110000
3220210102221010202220010121100
4222333111103323202131300
5144240211143321010213
61510041344540124400
754552603622463430
oct5277252373423560
9823387122803540
10189070163453808
115527522a2477aa
1219257093236700
138166317112000
14349908aa922c0
1516cd237531773
hexabf553ee2770

189070163453808 has 1920 divisors, whose sum is σ = 730137268224000. Its totient is φ = 44555579228160.

The previous prime is 189070163453741. The next prime is 189070163453813. The reversal of 189070163453808 is 808354361070981.

189070163453808 is a `hidden beast` number, since 1 + 8 + 90 + 7 + 0 + 1 + 6 + 3 + 4 + 538 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45790785888 + ... + 45790790016.

It is an arithmetic number, because the mean of its divisors is an integer number (380279827200).

Almost surely, 2189070163453808 is an apocalyptic number.

189070163453808 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 189070163453808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365068634112000).

189070163453808 is an abundant number, since it is smaller than the sum of its proper divisors (541067104770192).

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

189070163453808 is a wasteful number, since it uses less digits than its factorization.

189070163453808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 189070163453808 in words is "one hundred eighty-nine trillion, seventy billion, one hundred sixty-three million, four hundred fifty-three thousand, eight hundred eight".