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148030939584 = 26341123591913
BaseRepresentation
bin1000100111011101010…
…1001110000111000000
3112011002112022212210000
42021313111032013000
54411131410031314
6152000544440000
713460226140223
oct2116725160700
9464075285700
10148030939584
11578636739a0
1224833319000
1310c61648958
14724406b5ba
153cb5cce209
hex227754e1c0

148030939584 has 560 divisors, whose sum is σ = 508246928640. Its totient is φ = 42158223360.

The previous prime is 148030939517. The next prime is 148030939649. The reversal of 148030939584 is 485939030841.

148030939584 is a `hidden beast` number, since 148 + 0 + 30 + 9 + 395 + 84 = 666.

148030939584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148030939584.

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 79 ways as a sum of consecutive naturals, for example, 77380612 + ... + 77382524.

Almost surely, 2148030939584 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 148030939584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254123464320).

148030939584 is an abundant number, since it is smaller than the sum of its proper divisors (360215989056).

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

148030939584 is a wasteful number, since it uses less digits than its factorization.

148030939584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2011 counting only the distinct ones).

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

The spelling of 148030939584 in words is "one hundred forty-eight billion, thirty million, nine hundred thirty-nine thousand, five hundred eighty-four".