Search a number
-
+
235915130880 = 2113651113217
BaseRepresentation
bin1101101110110110100…
…0110011100000000000
3211112221022221101000000
43123231220303200000
512331123233142010
6300213344000000
723021124345252
oct3335550634000
9745838841000
10235915130880
1191061a39650
123987b600000
1319329006600
14b5bdd65cd2
15620b51e7c0
hex36eda33800

235915130880 has 2016 divisors, whose sum is σ = 1061524835280. Its totient is φ = 49686773760.

The previous prime is 235915130861. The next prime is 235915130911. The reversal of 235915130880 is 88031519532.

235915130880 is a `hidden beast` number, since 2 + 3 + 59 + 1 + 513 + 0 + 8 + 80 = 666.

235915130880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 13877360632 + ... + 13877360648.

Almost surely, 2235915130880 is an apocalyptic number.

235915130880 is a gapful number since it is divisible by the number (20) 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 235915130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530762417640).

235915130880 is an abundant number, since it is smaller than the sum of its proper divisors (825609704400).

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

235915130880 is a wasteful number, since it uses less digits than its factorization.

235915130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 235915130880 in words is "two hundred thirty-five billion, nine hundred fifteen million, one hundred thirty thousand, eight hundred eighty".