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119870028720 = 24325131719311279
BaseRepresentation
bin110111110100011001…
…1110111101110110000
3102110101221121101102100
41233220303313232300
53430443211404340
6131022330420400
711442330301251
oct1575063675660
9373357541370
10119870028720
1146922562842
121b294291700
13b3c42ab9a0
145b31d92b28
1531b8880830
hex1be8cf7bb0

119870028720 has 960 divisors, whose sum is σ = 499168051200. Its totient is φ = 25440583680.

The previous prime is 119870028709. The next prime is 119870028757. The reversal of 119870028720 is 27820078911.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93721041 + ... + 93722319.

It is an arithmetic number, because the mean of its divisors is an integer number (519966720).

Almost surely, 2119870028720 is an apocalyptic number.

119870028720 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 119870028720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249584025600).

119870028720 is an abundant number, since it is smaller than the sum of its proper divisors (379298022480).

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

119870028720 is a wasteful number, since it uses less digits than its factorization.

119870028720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 119870028720 in words is "one hundred nineteen billion, eight hundred seventy million, twenty-eight thousand, seven hundred twenty".