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194149920384 = 27337174571033
BaseRepresentation
bin1011010011010000111…
…1001010111010000000
3200120010122022211221000
42310310033022322000
511140104334423014
6225105150332000
720012134044210
oct2646417127200
9616118284830
10194149920384
117537a628862
12317644ba000
1315401324cc4
14957b17a240
1550b4aa2509
hex2d343cae80

194149920384 has 512 divisors, whose sum is σ = 695582553600. Its totient is φ = 52043710464.

The previous prime is 194149920383. The next prime is 194149920421. The reversal of 194149920384 is 483029941491.

194149920384 is a `hidden beast` number, since 19 + 41 + 499 + 20 + 3 + 84 = 666.

It is a super-2 number, since 2×1941499203842 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 194149920384.

It is not an unprimeable number, because it can be changed into a prime (194149920383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187947132 + ... + 187948164.

It is an arithmetic number, because the mean of its divisors is an integer number (1358559675).

Almost surely, 2194149920384 is an apocalyptic number.

194149920384 is a gapful number since it is divisible by the number (14) 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 194149920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347791276800).

194149920384 is an abundant number, since it is smaller than the sum of its proper divisors (501432633216).

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

194149920384 is a wasteful number, since it uses less digits than its factorization.

194149920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 194149920384 in words is "one hundred ninety-four billion, one hundred forty-nine million, nine hundred twenty thousand, three hundred eighty-four".