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149490612544 = 26713193143579
BaseRepresentation
bin1000101100111001010…
…1011011100101000000
3112021212020221221122111
42023032111123211000
54422124044100134
6152401450345104
713541342145430
oct2131625334500
9467766857574
10149490612544
115844260a889
1224b8012b194
1311134b8b570
147341c742c0
153d4e00ec64
hex22ce55b940

149490612544 has 224 divisors, whose sum is σ = 396724428800. Its totient is φ = 54218004480.

The previous prime is 149490612533. The next prime is 149490612547. The reversal of 149490612544 is 445216094941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149490612547) by changing a digit.

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, 3408547 + ... + 3452125.

It is an arithmetic number, because the mean of its divisors is an integer number (1771091200).

Almost surely, 2149490612544 is an apocalyptic number.

149490612544 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 149490612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198362214400).

149490612544 is an abundant number, since it is smaller than the sum of its proper divisors (247233816256).

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

149490612544 is a wasteful number, since it uses less digits than its factorization.

149490612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43661 (or 43651 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 149490612544 in words is "one hundred forty-nine billion, four hundred ninety million, six hundred twelve thousand, five hundred forty-four".