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149016914688 = 28317312831301
BaseRepresentation
bin1000101011001000011…
…0011010101100000000
3112020122020121121100110
42022302012122230000
54420141312232223
6152242445351320
713523530606215
oct2126206325400
9466566547313
10149016914688
115821a188654
1224a69568540
131108a9b5285
1472d8da7b0c
153d2263ed93
hex22b219ab00

149016914688 has 288 divisors, whose sum is σ = 435344136192. Its totient is φ = 45047808000.

The previous prime is 149016914681. The next prime is 149016914689. The reversal of 149016914688 is 886419610941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (149016914681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114539638 + ... + 114540938.

It is an arithmetic number, because the mean of its divisors is an integer number (1511611584).

Almost surely, 2149016914688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149016914688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217672068096).

149016914688 is an abundant number, since it is smaller than the sum of its proper divisors (286327221504).

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

149016914688 is a wasteful number, since it uses less digits than its factorization.

149016914688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 149016914688 in words is "one hundred forty-nine billion, sixteen million, nine hundred fourteen thousand, six hundred eighty-eight".