Search a number
-
+
158925317677056 = 213357441811
BaseRepresentation
bin100100001000101010101111…
…000110110010000000000000
3202211201010000122022112100000
4210020222233012302000000
5131312313022311131211
61322001141045200000
745321655345230000
oct4410525706620000
9684633018275300
10158925317677056
1146702937721837
12159a895b400000
136a8a7931cc468
142b360526c0000
15135902b3e5656
hex908aaf1b2000

158925317677056 has 1680 divisors, whose sum is σ = 569656744177248. Its totient is φ = 44245116518400.

The previous prime is 158925317677039. The next prime is 158925317677127. The reversal of 158925317677056 is 650776713529851.

158925317677056 is a `hidden beast` number, since 1 + 5 + 89 + 2 + 531 + 7 + 6 + 7 + 7 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 195962166891 + ... + 195962167701.

Almost surely, 2158925317677056 is an apocalyptic number.

158925317677056 is a gapful number since it is divisible by the number (16) 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 158925317677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284828372088624).

158925317677056 is an abundant number, since it is smaller than the sum of its proper divisors (410731426500192).

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

158925317677056 is an frugal number, since it uses more digits than its factorization.

158925317677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 666792000, while the sum is 72.

The spelling of 158925317677056 in words is "one hundred fifty-eight trillion, nine hundred twenty-five billion, three hundred seventeen million, six hundred seventy-seven thousand, fifty-six".