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149439970176 = 2737199337829
BaseRepresentation
bin1000101100101101010…
…0001111101110000000
3112021201201200001101020
42023023110033232000
54422023113021201
6152352441105440
713540155534150
oct2131324175600
9467651601336
10149439970176
1158416a70492
1224b67188280
1311127539973
147339250760
153d49859a36
hex22cb50fb80

149439970176 has 256 divisors, whose sum is σ = 457841280000. Its totient is φ = 42305421312.

The previous prime is 149439970159. The next prime is 149439970237. The reversal of 149439970176 is 671079934941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180264930 + ... + 180265758.

It is an arithmetic number, because the mean of its divisors is an integer number (1788442500).

Almost surely, 2149439970176 is an apocalyptic number.

149439970176 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 149439970176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228920640000).

149439970176 is an abundant number, since it is smaller than the sum of its proper divisors (308401309824).

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

149439970176 is a wasteful number, since it uses less digits than its factorization.

149439970176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 149439970176 in words is "one hundred forty-nine billion, four hundred thirty-nine million, nine hundred seventy thousand, one hundred seventy-six".