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149816530944 = 2113219617013
BaseRepresentation
bin1000101110000111000…
…0101101100000000000
3112022200222020022122100
42023201300231200000
54423311012442234
6152454052110400
713552410334023
oct2134160554000
9468628208570
10149816530944
115859a587133
1225051305400
13111875625a2
1473732731ba
153d6c93d399
hex22e1c2d800

149816530944 has 288 divisors, whose sum is σ = 463003959600. Its totient is φ = 46528266240.

The previous prime is 149816530933. The next prime is 149816530949. The reversal of 149816530944 is 449035618941.

149816530944 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 16 + 530 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1498165309442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149816530949) 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 23 ways as a sum of consecutive naturals, for example, 21359182 + ... + 21366194.

Almost surely, 2149816530944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149816530944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231501979800).

149816530944 is an abundant number, since it is smaller than the sum of its proper divisors (313187428656).

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

149816530944 is a wasteful number, since it uses less digits than its factorization.

149816530944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 149816530944 in words is "one hundred forty-nine billion, eight hundred sixteen million, five hundred thirty thousand, nine hundred forty-four".