Search a number
-
+
149182933536 = 2532721319127337
BaseRepresentation
bin1000101011101111111…
…1101110101000100000
3112021001211000020101200
42022323333232220200
54421011312333121
6152311140001200
713530615004200
oct2127377565040
9467054006350
10149182933536
11582a497100a
1224ab5090200
13110b6202490
147313062400
153d31ed5a26
hex22bbfeea20

149182933536 has 864 divisors, whose sum is σ = 565514127360. Its totient is φ = 36870930432.

The previous prime is 149182933507. The next prime is 149182933579. The reversal of 149182933536 is 635339281941.

149182933536 is a `hidden beast` number, since 1 + 4 + 9 + 18 + 2 + 93 + 3 + 536 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 442679160 + ... + 442679496.

It is an arithmetic number, because the mean of its divisors is an integer number (654530240).

Almost surely, 2149182933536 is an apocalyptic number.

149182933536 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 149182933536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282757063680).

149182933536 is an abundant number, since it is smaller than the sum of its proper divisors (416331193824).

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

149182933536 is a wasteful number, since it uses less digits than its factorization.

149182933536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 149182933536 in words is "one hundred forty-nine billion, one hundred eighty-two million, nine hundred thirty-three thousand, five hundred thirty-six".