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149534474112 = 2733174615521
BaseRepresentation
bin1000101101000011110…
…0101111111110000000
3112021222022111100102000
42023100330233332000
54422221311132422
6152410054424000
713542414025632
oct2132074577600
9467868440360
10149534474112
1158465348711
1224b92962000
1311140ca795a
147347a10a52
153d52cc5cac
hex22d0f2ff80

149534474112 has 256 divisors, whose sum is σ = 468393710400. Its totient is φ = 46802534400.

The previous prime is 149534474099. The next prime is 149534474113. The reversal of 149534474112 is 211474435941.

149534474112 is a `hidden beast` number, since 1 + 4 + 95 + 3 + 447 + 4 + 112 = 666.

149534474112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149534474113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27081912 + ... + 27087432.

Almost surely, 2149534474112 is an apocalyptic number.

149534474112 is a gapful number since it is divisible by the number (12) 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 149534474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234196855200).

149534474112 is an abundant number, since it is smaller than the sum of its proper divisors (318859236288).

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

149534474112 is a wasteful number, since it uses less digits than its factorization.

149534474112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 6004 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 149534474112 in words is "one hundred forty-nine billion, five hundred thirty-four million, four hundred seventy-four thousand, one hundred twelve".