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4426683360 = 2535112199383
BaseRepresentation
bin1000001111101100…
…11101001111100000
3102102111120210222120
410013312131033200
533031212331420
62011131104240
7214461121251
oct40766351740
912374523876
104426683360
111971824800
12a365a2080
13557146488
142ddca2b28
151ad959d40
hex107d9d3e0

4426683360 has 288 divisors, whose sum is σ = 15444172800. Its totient is φ = 1064954880.

The previous prime is 4426683323. The next prime is 4426683407. The reversal of 4426683360 is 633866244.

It is a happy number.

It is a super-4 number, since 4×44266833604 (a number of 40 digits) contains 4444 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11557729 + ... + 11558111.

It is an arithmetic number, because the mean of its divisors is an integer number (53625600).

Almost surely, 24426683360 is an apocalyptic number.

4426683360 is a gapful number since it is divisible by the number (40) 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 4426683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

4426683360 is an abundant number, since it is smaller than the sum of its proper divisors (11017489440).

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

4426683360 is a wasteful number, since it uses less digits than its factorization.

4426683360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 4426683360 is about 66533.3251837002. The cubic root of 4426683360 is about 1641.9483289157.

It can be divided in two parts, 4426 and 683360, that added together give a palindrome (687786).

The spelling of 4426683360 in words is "four billion, four hundred twenty-six million, six hundred eighty-three thousand, three hundred sixty".