Search a number
-
+
3126110064 = 243711845809
BaseRepresentation
bin1011101001010100…
…1010011101110000
322001212022211211020
42322111022131300
522400241010224
61234111215440
7140316332340
oct27225123560
98055284736
103126110064
111364675840
12732b17580
133aa86a58c
14219272d20
151346a4c79
hexba54a770

3126110064 has 80 divisors (see below), whose sum is σ = 10068522240. Its totient is φ = 811975680.

The previous prime is 3126110023. The next prime is 3126110101. The reversal of 3126110064 is 4600116213.

3126110064 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-3 number, since 3×31261100643 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419209 + ... + 426600.

It is an arithmetic number, because the mean of its divisors is an integer number (125856528).

Almost surely, 23126110064 is an apocalyptic number.

It is an amenable number.

3126110064 is an abundant number, since it is smaller than the sum of its proper divisors (6942412176).

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

3126110064 is a wasteful number, since it uses less digits than its factorization.

3126110064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845838 (or 845832 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3126110064 is about 55911.6272701842. The cubic root of 3126110064 is about 1462.1819604436.

Adding to 3126110064 its reverse (4600116213), we get a palindrome (7726226277).

The spelling of 3126110064 in words is "three billion, one hundred twenty-six million, one hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 845809 1691618 2537427 3383236 5074854 5920663 6766472 9303899 10149708 11841326 13532944 17761989 18607798 20299416 23682652 27911697 35523978 37215596 40598832 47365304 55823394 65127293 71047956 74431192 94730608 111646788 130254586 142095912 148862384 195381879 223293576 260509172 284191824 390763758 446587152 521018344 781527516 1042036688 1563055032 3126110064