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190389917160 = 233251979832731
BaseRepresentation
bin1011000101010000011…
…1111001010111101000
3200012102121012220011100
42301110013321113220
511104404304322120
6223244112401400
716520016410532
oct2612407712750
9605377186140
10190389917160
1173820165783
1230a95246260
1314c52352b21
149301a5a852
154e44937490
hex2c541f95e8

190389917160 has 192 divisors, whose sum is σ = 622768798080. Its totient is φ = 50443061760.

The previous prime is 190389917131. The next prime is 190389917177. The reversal of 190389917160 is 61719983091.

It is a happy number.

190389917160 is a `hidden beast` number, since 1 + 90 + 389 + 9 + 17 + 160 = 666.

190389917160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 190389917097 and 190389917106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69712995 + ... + 69715725.

It is an arithmetic number, because the mean of its divisors is an integer number (3243587490).

Almost surely, 2190389917160 is an apocalyptic number.

190389917160 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 190389917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311384399040).

190389917160 is an abundant number, since it is smaller than the sum of its proper divisors (432378880920).

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

190389917160 is a wasteful number, since it uses less digits than its factorization.

190389917160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 190389917160 in words is "one hundred ninety billion, three hundred eighty-nine million, nine hundred seventeen thousand, one hundred sixty".