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149587930656 = 253723199467
BaseRepresentation
bin1000101101010000100…
…0101010111000100000
3112022010001002020000000
42023110020222320200
54422324002240111
6152415244300000
713543633300623
oct2132410527040
9468101066000
10149587930656
115849253a37a
1224ba8841600
131114c0a3448
147350b67dba
153d57834c56
hex22d422ae20

149587930656 has 384 divisors, whose sum is σ = 464196096000. Its totient is φ = 47353413888.

The previous prime is 149587930643. The next prime is 149587930777. The reversal of 149587930656 is 656039785941.

149587930656 is a `hidden beast` number, since 1 + 49 + 587 + 9 + 3 + 0 + 6 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 149587930593 and 149587930602.

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, 320316535 + ... + 320317001.

It is an arithmetic number, because the mean of its divisors is an integer number (1208844000).

Almost surely, 2149587930656 is an apocalyptic number.

149587930656 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 149587930656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232098048000).

149587930656 is an abundant number, since it is smaller than the sum of its proper divisors (314608165344).

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

149587930656 is an equidigital number, since it uses as much as digits as its factorization.

149587930656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 149587930656 in words is "one hundred forty-nine billion, five hundred eighty-seven million, nine hundred thirty thousand, six hundred fifty-six".