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149221051200 = 263652132757
BaseRepresentation
bin1000101011111001000…
…1001000101101000000
3112021011110201211000000
42022332101020231000
54421101042114300
6152315021000000
713531560002334
oct2127621105500
9467143654000
10149221051200
1158314436411
1224b059b3000
13110c108a300
1473181457c4
153d35514c00
hex22be448b40

149221051200 has 882 divisors, whose sum is σ = 596905900674. Its totient is φ = 36682813440.

The previous prime is 149221051169. The next prime is 149221051261. The reversal of 149221051200 is 2150122941.

149221051200 is a `hidden beast` number, since 149 + 2 + 2 + 1 + 0 + 512 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 86548932864 + 62672118336 = 294192^2 + 250344^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 197121222 + ... + 197121978.

Almost surely, 2149221051200 is an apocalyptic number.

149221051200 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 149221051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298452950337).

149221051200 is an abundant number, since it is smaller than the sum of its proper divisors (447684849474).

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

149221051200 is an equidigital number, since it uses as much as digits as its factorization.

149221051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 149221051200 in words is "one hundred forty-nine billion, two hundred twenty-one million, fifty-one thousand, two hundred".