Search a number
-
+
3426230500064 = 2517192273793853
BaseRepresentation
bin110001110110111011010…
…000000111101011100000
3110010112200220011010000022
4301312323100013223200
5422113410002000224
611141553310213012
7502352120505161
oct61667320075340
913115626133008
103426230500064
111101068882aa9
124740397b4168
131bb1275b76a8
14bbb8aa31768
155e1cdd7265e
hex31dbb407ae0

3426230500064 has 192 divisors, whose sum is σ = 7573091500800. Its totient is φ = 1516348366848.

The previous prime is 3426230500051. The next prime is 3426230500103. The reversal of 3426230500064 is 4600050326243.

3426230500064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3426230499997 and 3426230500033.

It is a congruent number.

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, 889235162 + ... + 889239014.

It is an arithmetic number, because the mean of its divisors is an integer number (39443184900).

Almost surely, 23426230500064 is an apocalyptic number.

3426230500064 is a gapful number since it is divisible by the number (34) 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 3426230500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786545750400).

3426230500064 is an abundant number, since it is smaller than the sum of its proper divisors (4146861000736).

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

3426230500064 is a wasteful number, since it uses less digits than its factorization.

3426230500064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 3426230500064 in words is "three trillion, four hundred twenty-six billion, two hundred thirty million, five hundred thousand, sixty-four".