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149855957200 = 24522329896311
BaseRepresentation
bin1000101110010000011…
…1000111000011010000
3112022210201102101022001
42023210013013003100
54423401111112300
6152502021123344
713553366422255
oct2134407070320
9468721371261
10149855957200
115860a865714
1225062559554
1311192787c31
1473785b742c
153d7112a16a
hex22e41c70d0

149855957200 has 240 divisors, whose sum is σ = 393065913600. Its totient is φ = 54728396800.

The previous prime is 149855957149. The next prime is 149855957231. The reversal of 149855957200 is 2759558941.

149855957200 is digitally balanced in base 3, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23742045 + ... + 23748355.

It is an arithmetic number, because the mean of its divisors is an integer number (1637774640).

Almost surely, 2149855957200 is an apocalyptic number.

149855957200 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 149855957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196532956800).

149855957200 is an abundant number, since it is smaller than the sum of its proper divisors (243209956400).

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

149855957200 is a wasteful number, since it uses less digits than its factorization.

149855957200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 55.

The spelling of 149855957200 in words is "one hundred forty-nine billion, eight hundred fifty-five million, nine hundred fifty-seven thousand, two hundred".