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149896323360 = 2533573101161
BaseRepresentation
bin1000101110011010000…
…1000110000100100000
3112022220112101012021000
42023212201012010200
54423441424321420
6152510022232000
713554366504000
oct2134641060440
9468815335230
10149896323360
1158630626383
1225073b85600
131119ac4c334
14737dac4000
153d74950690
hex22e6846120

149896323360 has 384 divisors, whose sum is σ = 611827776000. Its totient is φ = 34261678080.

The previous prime is 149896323359. The next prime is 149896323443. The reversal of 149896323360 is 63323698941.

149896323360 is a `hidden beast` number, since 1 + 498 + 9 + 63 + 2 + 33 + 60 = 666.

149896323360 is digitally balanced in base 3, 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 149896323297 and 149896323306.

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 63 ways as a sum of consecutive naturals, for example, 1431180 + ... + 1532340.

It is an arithmetic number, because the mean of its divisors is an integer number (1593301500).

Almost surely, 2149896323360 is an apocalyptic number.

149896323360 is a gapful number since it is divisible by the number (10) 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 149896323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305913888000).

149896323360 is an abundant number, since it is smaller than the sum of its proper divisors (461931452640).

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

149896323360 is a wasteful number, since it uses less digits than its factorization.

149896323360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101206 (or 101178 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 149896323360 in words is "one hundred forty-nine billion, eight hundred ninety-six million, three hundred twenty-three thousand, three hundred sixty".