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4109818993 = 72372266861
BaseRepresentation
bin1111010011110110…
…1101110001110001
3101121102100102210021
43310331231301301
531404103201433
61515451403441
7203562612400
oct36475556161
911542312707
104109818993
111819981925
12968453581
135065c2577
142adb7d637
15190c1922d
hexf4f6dc71

4109818993 has 12 divisors (see below), whose sum is σ = 4910023092. Its totient is φ = 3427492320.

The previous prime is 4109818981. The next prime is 4109819011. The reversal of 4109818993 is 3998189014.

It can be written as a sum of positive squares in 2 ways, for example, as 3526934544 + 582884449 = 59388^2 + 24143^2 .

It is not a de Polignac number, because 4109818993 - 225 = 4076264561 is a prime.

It is a super-2 number, since 2×41098189932 = 33781224310447068098, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4109818993.

It is not an unprimeable number, because it can be changed into a prime (4109818943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131618 + ... + 1135243.

It is an arithmetic number, because the mean of its divisors is an integer number (409168591).

Almost surely, 24109818993 is an apocalyptic number.

It is an amenable number.

4109818993 is a deficient number, since it is larger than the sum of its proper divisors (800204099).

4109818993 is a wasteful number, since it uses less digits than its factorization.

4109818993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266912 (or 2266905 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The square root of 4109818993 is about 64107.8699770941. The cubic root of 4109818993 is about 1601.7973282977.

The spelling of 4109818993 in words is "four billion, one hundred nine million, eight hundred eighteen thousand, nine hundred ninety-three".

Divisors: 1 7 37 49 259 1813 2266861 15868027 83873857 111076189 587116999 4109818993