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149284255824 = 243411191793079
BaseRepresentation
bin1000101100001000001…
…0001111100001010000
3112021022212122221110000
42023002002033201100
54421213232141244
6152325155410000
713533255144354
oct2130202174120
9467285587400
10149284255824
1158347085a40
1224b22bb3900
13111011b9ab2
1473226b9464
153d3ad4c169
hex22c208f850

149284255824 has 400 divisors, whose sum is σ = 499093056000. Its totient is φ = 42603459840.

The previous prime is 149284255819. The next prime is 149284255853. The reversal of 149284255824 is 428552482941.

It is a happy number.

149284255824 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 84 + 2 + 558 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 48483117 + ... + 48486195.

It is an arithmetic number, because the mean of its divisors is an integer number (1247732640).

Almost surely, 2149284255824 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 149284255824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249546528000).

149284255824 is an abundant number, since it is smaller than the sum of its proper divisors (349808800176).

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

149284255824 is a wasteful number, since it uses less digits than its factorization.

149284255824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3293 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 149284255824 in words is "one hundred forty-nine billion, two hundred eighty-four million, two hundred fifty-five thousand, eight hundred twenty-four".