Search a number
-
+
6480193356 = 223274137379
BaseRepresentation
bin1100000100011111…
…11110011101001100
3121201121121221010100
412002033332131030
5101232412141411
62551005011100
7316404510000
oct60217763514
917647557110
106480193356
11282599a1aa
12130a253a90
137c3707750
144568ca700
1527dd8c456
hex1823fe74c

6480193356 has 360 divisors, whose sum is σ = 21125366080. Its totient is φ = 1664312832.

The previous prime is 6480193319. The next prime is 6480193361. The reversal of 6480193356 is 6533910846.

It is a super-2 number, since 2×64801933562 = 83985811862293085472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82027725 + ... + 82027803.

Almost surely, 26480193356 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 6480193356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562683040).

6480193356 is an abundant number, since it is smaller than the sum of its proper divisors (14645172724).

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

6480193356 is a wasteful number, since it uses less digits than its factorization.

6480193356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6480193356 is about 80499.6481731442. The cubic root of 6480193356 is about 1864.3580466610.

The spelling of 6480193356 in words is "six billion, four hundred eighty million, one hundred ninety-three thousand, three hundred fifty-six".