Search a number
-
+
194881149792 = 25327299833391
BaseRepresentation
bin1011010101111111010…
…0100101101101100000
3200122000121021011002200
42311133310211231200
511143104033243132
6225305511213200
720036223304320
oct2653764455540
9618017234080
10194881149792
117571536828a
1231929377200
13154b9979b24
14960a323280
155108d92d7c
hex2d5fd25b60

194881149792 has 288 divisors, whose sum is σ = 656063815680. Its totient is φ = 53689789440.

The previous prime is 194881149781. The next prime is 194881149797. The reversal of 194881149792 is 297941188491.

194881149792 is a `hidden beast` number, since 1 + 9 + 48 + 8 + 11 + 497 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194881149797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57468417 + ... + 57471807.

It is an arithmetic number, because the mean of its divisors is an integer number (2277999360).

Almost surely, 2194881149792 is an apocalyptic number.

194881149792 is a gapful number since it is divisible by the number (12) 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 194881149792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328031907840).

194881149792 is an abundant number, since it is smaller than the sum of its proper divisors (461182665888).

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

194881149792 is a wasteful number, since it uses less digits than its factorization.

194881149792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4415 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The spelling of 194881149792 in words is "one hundred ninety-four billion, eight hundred eighty-one million, one hundred forty-nine thousand, seven hundred ninety-two".