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194413330944 = 29327191492129
BaseRepresentation
bin1011010100001111110…
…0000000001000000000
3200120210222222111021200
42311003330000020000
511141124303042234
6225151240221200
720021513022060
oct2650374001000
9616728874250
10194413330944
11754a5291038
123181876a800
1315443a81741
1495a41473a0
1550ccc84d99
hex2d43f00200

194413330944 has 480 divisors, whose sum is σ = 679844880000. Its totient is φ = 52245430272.

The previous prime is 194413330933. The next prime is 194413330949. The reversal of 194413330944 is 449033314491.

194413330944 is a `hidden beast` number, since 194 + 41 + 3 + 330 + 94 + 4 = 666.

It is a super-2 number, since 2×1944133309442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 194413330944.

It is not an unprimeable number, because it can be changed into a prime (194413330949) 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, 91315672 + ... + 91317800.

It is an arithmetic number, because the mean of its divisors is an integer number (1416343500).

Almost surely, 2194413330944 is an apocalyptic number.

194413330944 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 194413330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339922440000).

194413330944 is an abundant number, since it is smaller than the sum of its proper divisors (485431549056).

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

194413330944 is a wasteful number, since it uses less digits than its factorization.

194413330944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 194413330944 in words is "one hundred ninety-four billion, four hundred thirteen million, three hundred thirty thousand, nine hundred forty-four".