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4399681536 = 2123489149
BaseRepresentation
bin1000001100011110…
…11101000000000000
3102100121202222110000
410012033131000000
533002304302121
62004324240000
7214012450605
oct40617350000
912317688400
104399681536
111958561948
12a29540000
13551681073
142da4746ac
151ab3c4526
hex1063dd000

4399681536 has 260 divisors, whose sum is σ = 13379998500. Its totient is φ = 1440350208.

The previous prime is 4399681529. The next prime is 4399681543. The reversal of 4399681536 is 6351869934.

4399681536 is a `hidden beast` number, since 43 + 9 + 9 + 68 + 1 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (4399681529) and next prime (4399681543).

It can be written as a sum of positive squares in 2 ways, for example, as 671846400 + 3727835136 = 25920^2 + 61056^2 .

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

Its product of digits (4199040) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 29527990 + ... + 29528138.

Almost surely, 24399681536 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 4399681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689999250).

4399681536 is an abundant number, since it is smaller than the sum of its proper divisors (8980316964).

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

4399681536 is an equidigital number, since it uses as much as digits as its factorization.

4399681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 243 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 4399681536 is about 66330.0952509492. The cubic root of 4399681536 is about 1638.6030062582.

The spelling of 4399681536 in words is "four billion, three hundred ninety-nine million, six hundred eighty-one thousand, five hundred thirty-six".