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149062161024 = 27327194161389
BaseRepresentation
bin1000101011010011001…
…1000001001010000000
3112020202101202100122200
42022310303001022000
54420234403123044
6152251143233200
713524620314560
oct2126463011200
9466671670580
10149062161024
1158242781917
1224a80748800
1311097197a5a
147300dc4da0
153d265cb369
hex22b4cc1280

149062161024 has 768 divisors, whose sum is σ = 538653024000. Its totient is φ = 38618726400.

The previous prime is 149062161023. The next prime is 149062161049. The reversal of 149062161024 is 420161260941.

149062161024 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 621 + 6 + 1 + 0 + 24 = 666.

149062161024 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149062161024.

It is not an unprimeable number, because it can be changed into a prime (149062161023) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 383193022 + ... + 383193410.

It is an arithmetic number, because the mean of its divisors is an integer number (701371125).

Almost surely, 2149062161024 is an apocalyptic number.

149062161024 is a gapful number since it is divisible by the number (14) 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 149062161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269326512000).

149062161024 is an abundant number, since it is smaller than the sum of its proper divisors (389590862976).

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

149062161024 is a wasteful number, since it uses less digits than its factorization.

149062161024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 149062161024 in words is "one hundred forty-nine billion, sixty-two million, one hundred sixty-one thousand, twenty-four".