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4418998416 = 243471931827
BaseRepresentation
bin1000001110110010…
…01001000010010000
3102101222010101020000
410013121021002100
533022230422131
62010254250000
7214335603210
oct40731110220
912358111200
104418998416
111968455a08
12a33ab6900
13555685581
142dcc62240
151ace3cce6
hex107649090

4418998416 has 400 divisors, whose sum is σ = 15901839360. Its totient is φ = 1156135680.

The previous prime is 4418998403. The next prime is 4418998427. The reversal of 4418998416 is 6148998144.

It is a happy number.

4418998416 is a `hidden beast` number, since 44 + 189 + 9 + 8 + 416 = 666.

It is a super-2 number, since 2×44189984162 = 39055094001221018112, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5342995 + ... + 5343821.

Almost surely, 24418998416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4418998416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950919680).

4418998416 is an abundant number, since it is smaller than the sum of its proper divisors (11482840944).

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

4418998416 is a wasteful number, since it uses less digits than its factorization.

4418998416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 4418998416 is about 66475.5475043267. The cubic root of 4418998416 is about 1640.9976103625.

The spelling of 4418998416 in words is "four billion, four hundred eighteen million, nine hundred ninety-eight thousand, four hundred sixteen".