Search a number
-
+
190119663360 = 283251123374143
BaseRepresentation
bin1011000100010000000…
…0111101011100000000
3200011201202200120122100
42301010000331130000
511103331113211420
6223201220110400
716510225321554
oct2610400753400
9604652616570
10190119663360
11736a1659030
1230a1a835400
1314c0b36b633
1492b7bcb864
154e2ad52190
hex2c4403d700

190119663360 has 1728 divisors, whose sum is σ = 806108599296. Its totient is φ = 40874803200.

The previous prime is 190119663359. The next prime is 190119663379. The reversal of 190119663360 is 63366911091.

It is a happy number.

190119663360 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 1 + 9 + 6 + 633 + 6 + 0 = 666.

It is a super-2 number, since 2×1901196633602 (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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4421387499 + ... + 4421387541.

It is an arithmetic number, because the mean of its divisors is an integer number (466498032).

Almost surely, 2190119663360 is an apocalyptic number.

190119663360 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 190119663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403054299648).

190119663360 is an abundant number, since it is smaller than the sum of its proper divisors (615988935936).

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

190119663360 is a wasteful number, since it uses less digits than its factorization.

190119663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 190119663360 in words is "one hundred ninety billion, one hundred nineteen million, six hundred sixty-three thousand, three hundred sixty".