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4022063681895 = 3257193761793769
BaseRepresentation
bin111010100001110101101…
…011010101000101100111
3112020111122112101212112200
4322201311223111011213
51011344141300310040
612315413251145543
7563404326132240
oct72416553250547
915214575355480
104022063681895
111310825103416
1254b604ba52b3
13232381bb64cc
14dc951739cc7
156e952eb7630
hex3a875ad5167

4022063681895 has 384 divisors, whose sum is σ = 8867908608000. Its totient is φ = 1645486202880.

The previous prime is 4022063681887. The next prime is 4022063681927. The reversal of 4022063681895 is 5981863602204.

4022063681895 is a `hidden beast` number, since 40 + 220 + 6 + 368 + 18 + 9 + 5 = 666.

It is not a de Polignac number, because 4022063681895 - 23 = 4022063681887 is a prime.

It is a super-2 number, since 2×40220636818952 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1067141571 + ... + 1067145339.

It is an arithmetic number, because the mean of its divisors is an integer number (23093512000).

Almost surely, 24022063681895 is an apocalyptic number.

4022063681895 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4022063681895 is an abundant number, since it is smaller than the sum of its proper divisors (4845844926105).

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

4022063681895 is a wasteful number, since it uses less digits than its factorization.

4022063681895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 402206 and 3681895, that added together give a 5-th power (4084101 = 215).

The spelling of 4022063681895 in words is "four trillion, twenty-two billion, sixty-three million, six hundred eighty-one thousand, eight hundred ninety-five".