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149842038528 = 2832713714677
BaseRepresentation
bin1000101110001101001…
…0000000111100000000
3112022202202020020110200
42023203102000330000
54423334030213103
6152500402525200
713553140212120
oct2134322007400
9468682206420
10149842038528
1158602a19386
1225059966800
131118c923830
1473767d2c80
153d6eccb0a3
hex22e3480f00

149842038528 has 216 divisors, whose sum is σ = 531731866848. Its totient is φ = 39518724096.

The previous prime is 149842038527. The next prime is 149842038611. The reversal of 149842038528 is 825830248941.

149842038528 is a `hidden beast` number, since 1 + 4 + 9 + 84 + 2 + 0 + 38 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149842038527) 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, 147675 + ... + 567002.

Almost surely, 2149842038528 is an apocalyptic number.

149842038528 is a gapful number since it is divisible by the number (18) 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 149842038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265865933424).

149842038528 is an abundant number, since it is smaller than the sum of its proper divisors (381889828320).

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

149842038528 is a wasteful number, since it uses less digits than its factorization.

149842038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714719 (or 714702 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 149842038528 in words is "one hundred forty-nine billion, eight hundred forty-two million, thirty-eight thousand, five hundred twenty-eight".