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149883858432 = 2933711197411
BaseRepresentation
bin1000101110010111000…
…1100010111000000000
3112022212122220220121000
42023211301202320000
54423430231432212
6152504455132000
713554155530050
oct2134561427000
9468778826530
10149883858432
1158624592290
122506b974000
13111984a6839
14737c19b560
153d737dc1dc
hex22e5c62e00

149883858432 has 640 divisors, whose sum is σ = 582334156800. Its totient is φ = 36876902400.

The previous prime is 149883858427. The next prime is 149883858457. The reversal of 149883858432 is 234858388941.

149883858432 is a `hidden beast` number, since 1 + 49 + 8 + 8 + 3 + 8 + 584 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 149883858432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20220807 + ... + 20228217.

It is an arithmetic number, because the mean of its divisors is an integer number (909897120).

Almost surely, 2149883858432 is an apocalyptic number.

149883858432 is a gapful number since it is divisible by the number (12) 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 149883858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291167078400).

149883858432 is an abundant number, since it is smaller than the sum of its proper divisors (432450298368).

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

149883858432 is a wasteful number, since it uses less digits than its factorization.

149883858432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7453 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 149883858432 in words is "one hundred forty-nine billion, eight hundred eighty-three million, eight hundred fifty-eight thousand, four hundred thirty-two".