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149158195200 = 212345272367
BaseRepresentation
bin1000101011101010000…
…1010111000000000000
3112021000002110101210000
42022322201113000000
54420433444221300
6152304453440000
713530164511600
oct2127241270000
9467002411700
10149158195200
1158291a04803
1224aa8940000
13110b1050401
14730da62c00
153d2ec4ac00
hex22ba857000

149158195200 has 1170 divisors, whose sum is σ = 644475874416. Its totient is φ = 34000404480.

The previous prime is 149158195171. The next prime is 149158195217. The reversal of 149158195200 is 2591851941.

149158195200 is a `hidden beast` number, since 1 + 49 + 1 + 5 + 81 + 9 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 406425417 + ... + 406425783.

Almost surely, 2149158195200 is an apocalyptic number.

149158195200 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 149158195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237937208).

149158195200 is an abundant number, since it is smaller than the sum of its proper divisors (495317679216).

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

149158195200 is an equidigital number, since it uses as much as digits as its factorization.

149158195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 149158195200 in words is "one hundred forty-nine billion, one hundred fifty-eight million, one hundred ninety-five thousand, two hundred".