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194800080384 = 293471371727
BaseRepresentation
bin1011010101101011111…
…1010101011000000000
3200121210221201101210000
42311122333111120000
511142422310033014
6225253453440000
720034220235340
oct2653277253000
9617727641700
10194800080384
1175683626678
12319061a0000
13154a5c33a70
1495dd65cd20
155101bcc509
hex2d5afd5600

194800080384 has 800 divisors, whose sum is σ = 726679489536. Its totient is φ = 50582568960.

The previous prime is 194800080383. The next prime is 194800080457. The reversal of 194800080384 is 483080008491.

194800080384 is a `hidden beast` number, since 19 + 480 + 0 + 0 + 80 + 3 + 84 = 666.

194800080384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1948000803842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194800080383) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 267950229 + ... + 267950955.

Almost surely, 2194800080384 is an apocalyptic number.

194800080384 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 194800080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363339744768).

194800080384 is an abundant number, since it is smaller than the sum of its proper divisors (531879409152).

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

194800080384 is an equidigital number, since it uses as much as digits as its factorization.

194800080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 194800080384 in words is "one hundred ninety-four billion, eight hundred million, eighty thousand, three hundred eighty-four".