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189119324160 = 21332513193167
BaseRepresentation
bin1011000000100001100…
…0111110000000000000
3200002011001101002020100
42300020120332000000
511044304021333120
6222514043242400
716443360506004
oct2601030760000
9602131332210
10189119324160
1173228a23418
123079b819400
1314aac042c50
149220dd2704
154dbd105490
hex2c0863e000

189119324160 has 1344 divisors, whose sum is σ = 778583070720. Its totient is φ = 42042654720.

The previous prime is 189119324117. The next prime is 189119324197. The reversal of 189119324160 is 61423911981.

It is a super-2 number, since 2×1891193241602 (a number of 23 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2822676447 + ... + 2822676513.

It is an arithmetic number, because the mean of its divisors is an integer number (579302880).

Almost surely, 2189119324160 is an apocalyptic number.

189119324160 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 189119324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389291535360).

189119324160 is an abundant number, since it is smaller than the sum of its proper divisors (589463746560).

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

189119324160 is a wasteful number, since it uses less digits than its factorization.

189119324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 189119324160 in words is "one hundred eighty-nine billion, one hundred nineteen million, three hundred twenty-four thousand, one hundred sixty".