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119995126272 = 2931472
BaseRepresentation
bin110111111000001000…
…1000101001000000000
3102110201200000000000000
41233300101011020000
53431222223020042
6131043000000000
711445406513200
oct1576021051000
9373650000000
10119995126272
114698713644a
121b30a160000
13b41419bbc8
145b44838400
1531c484174c
hex1bf0445200

119995126272 has 450 divisors, whose sum is σ = 418349528883. Its totient is φ = 34284321792.

The previous prime is 119995126267. The next prime is 119995126283. The reversal of 119995126272 is 272621599911.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

119995126272 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 9 + 5 + 1 + 2 + 627 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59997563136 + 59997563136 = 244944^2 + 244944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=244944.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1224720) is a multiple of the sum of its prime divisors (12).

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 44 ways as a sum of consecutive naturals, for example, 17142160893 + ... + 17142160899.

Almost surely, 2119995126272 is an apocalyptic number.

119995126272 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 119995126272

119995126272 is an abundant number, since it is smaller than the sum of its proper divisors (298354402611).

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

119995126272 is an frugal number, since it uses more digits than its factorization.

119995126272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The spelling of 119995126272 in words is "one hundred nineteen billion, nine hundred ninety-five million, one hundred twenty-six thousand, two hundred seventy-two".