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4226021568 = 263217253479
BaseRepresentation
bin1111101111100011…
…1111100011000000
3101220112000010202100
43323320333203000
532123330142233
61535202150400
7206503406406
oct37370774300
911815003670
104226021568
11187952a60a
1299b352400
135246b9ba2
142c138b476
1519b01e813
hexfbe3f8c0

4226021568 has 252 divisors, whose sum is σ = 13137733440. Its totient is φ = 1298079744.

The previous prime is 4226021537. The next prime is 4226021593. The reversal of 4226021568 is 8651206224.

It is a happy number.

4226021568 is a `hidden beast` number, since 42 + 2 + 602 + 1 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8822353 + ... + 8822831.

Almost surely, 24226021568 is an apocalyptic number.

4226021568 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 4226021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568866720).

4226021568 is an abundant number, since it is smaller than the sum of its proper divisors (8911711872).

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

4226021568 is a wasteful number, since it uses less digits than its factorization.

4226021568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4226021568 is about 65007.8577404301. The cubic root of 4226021568 is about 1616.7538472182.

The spelling of 4226021568 in words is "four billion, two hundred twenty-six million, twenty-one thousand, five hundred sixty-eight".