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4399822771968 = 283132317106937
BaseRepresentation
bin100000000000110100111…
…0111111001011100000000
3120120121201012202221202210
41000001221313321130000
51034041314112200333
613205130051342120
7632606465332251
oct100015167713400
916517635687683
104399822771968
111446a55284a18
125b086b8b1940
1325bb947c3800
14112d49b6ab28
15796b2046a63
hex40069df9700

4399822771968 has 216 divisors, whose sum is σ = 12720118542768. Its totient is φ = 1349508366336.

The previous prime is 4399822771889. The next prime is 4399822771973. The reversal of 4399822771968 is 8691772289934.

It is a self number, because there is not a number n which added to its sum of digits gives 4399822771968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41090596 + ... + 41197532.

It is an arithmetic number, because the mean of its divisors is an integer number (58889437698).

Almost surely, 24399822771968 is an apocalyptic number.

4399822771968 is a gapful number since it is divisible by the number (48) 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 4399822771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360059271384).

4399822771968 is an abundant number, since it is smaller than the sum of its proper divisors (8320295770800).

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

4399822771968 is a wasteful number, since it uses less digits than its factorization.

4399822771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107299 (or 107272 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 75.

The spelling of 4399822771968 in words is "four trillion, three hundred ninety-nine billion, eight hundred twenty-two million, seven hundred seventy-one thousand, nine hundred sixty-eight".