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149718048480 = 2532571113103867
BaseRepresentation
bin1000101101101111100…
…1000001111011100000
3112022110002220220002200
42023123321001323200
54423110310022410
6152440213213200
713550103262110
oct2133371017340
9468402826080
10149718048480
1158549a31870
1225024331200
1311170030740
147364159040
153d63e883c0
hex22dbe41ee0

149718048480 has 576 divisors, whose sum is σ = 685987481088. Its totient is φ = 28716871680.

The previous prime is 149718048463. The next prime is 149718048503. The reversal of 149718048480 is 84840817941.

149718048480 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 1 + 80 + 484 + 80 = 666.

149718048480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1389507 + ... + 1493373.

It is an arithmetic number, because the mean of its divisors is an integer number (1190950488).

Almost surely, 2149718048480 is an apocalyptic number.

149718048480 is a gapful number since it is divisible by the number (10) 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 149718048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342993740544).

149718048480 is an abundant number, since it is smaller than the sum of its proper divisors (536269432608).

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

149718048480 is a wasteful number, since it uses less digits than its factorization.

149718048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103919 (or 103908 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 149718048480 in words is "one hundred forty-nine billion, seven hundred eighteen million, forty-eight thousand, four hundred eighty".