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3963850660 = 2257116434003
BaseRepresentation
bin1110110001000011…
…1000111110100100
3101020020200110212201
43230100320332210
531104221210120
61453155024244
7200141113630
oct35420707644
911206613781
103963850660
111754543740
1292759b084
134b22a5783
14298623dc0
15182ed440a
hexec438fa4

3963850660 has 96 divisors (see below), whose sum is σ = 10396818432. Its totient is φ = 1233256320.

The previous prime is 3963850651. The next prime is 3963850691. The reversal of 3963850660 is 660583693.

3963850660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39638506602 = 31424224109564871200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3963850660.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988219 + ... + 992221.

It is an arithmetic number, because the mean of its divisors is an integer number (108300192).

Almost surely, 23963850660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963850660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198409216).

3963850660 is an abundant number, since it is smaller than the sum of its proper divisors (6432967772).

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

3963850660 is a wasteful number, since it uses less digits than its factorization.

3963850660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The square root of 3963850660 is about 62959.1189582573. The cubic root of 3963850660 is about 1582.6046154553.

The spelling of 3963850660 in words is "three billion, nine hundred sixty-three million, eight hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 643 770 1286 1540 2572 3215 4003 4501 6430 7073 8006 9002 12860 14146 16012 18004 20015 22505 28021 28292 35365 40030 44033 45010 49511 56042 70730 80060 88066 90020 99022 112084 140105 141460 176132 198044 220165 247555 280210 308231 440330 495110 560420 616462 880660 990220 1232924 1541155 2573929 3082310 5147858 6164620 10295716 12869645 18017503 25739290 28313219 36035006 51478580 56626438 72070012 90087515 113252876 141566095 180175030 198192533 283132190 360350060 396385066 566264380 792770132 990962665 1981925330 3963850660