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149792248944 = 2438131953109
BaseRepresentation
bin1000101110000001010…
…0000101010001110000
3112022122021112200000000
42023200110011101300
54423233303431234
6152451423430000
713551664052022
oct2134024052160
9468567480000
10149792248944
1158587901768
1225045155300
1311182510140
14736dd52012
153d6a743899
hex22e0505470

149792248944 has 720 divisors, whose sum is σ = 507394087200. Its totient is φ = 42447255552.

The previous prime is 149792248913. The next prime is 149792248987. The reversal of 149792248944 is 449842297941.

149792248944 is a `hidden beast` number, since 1 + 4 + 97 + 9 + 22 + 489 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1374240762 + ... + 1374240870.

It is an arithmetic number, because the mean of its divisors is an integer number (704714010).

Almost surely, 2149792248944 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 149792248944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253697043600).

149792248944 is an abundant number, since it is smaller than the sum of its proper divisors (357601838256).

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

149792248944 is a wasteful number, since it uses less digits than its factorization.

149792248944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 149792248944 in words is "one hundred forty-nine billion, seven hundred ninety-two million, two hundred forty-eight thousand, nine hundred forty-four".