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151133230080 = 2103357473323
BaseRepresentation
bin1000110011000000111…
…1100001010000000000
3112110002201211120022000
42030300033201100000
54434010101330310
6153232445344000
713630136155020
oct2146017412000
9473081746260
10151133230080
115910584a738
122535a268000
13113372963c1
14745a09da80
153de832b4c0
hex23303e1400

151133230080 has 704 divisors, whose sum is σ = 627077652480. Its totient is φ = 33799569408.

The previous prime is 151133230067. The next prime is 151133230091. The reversal of 151133230080 is 80032331151.

151133230080 is a `hidden beast` number, since 15 + 11 + 332 + 300 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 45479299 + ... + 45482621.

Almost surely, 2151133230080 is an apocalyptic number.

151133230080 is a gapful number since it is divisible by the number (10) 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 151133230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313538826240).

151133230080 is an abundant number, since it is smaller than the sum of its proper divisors (475944422400).

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

151133230080 is a wasteful number, since it uses less digits than its factorization.

151133230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 151133230080 in words is "one hundred fifty-one billion, one hundred thirty-three million, two hundred thirty thousand, eighty".