Search a number
-
+
2473368480 = 2533511233173
BaseRepresentation
bin1001001101101100…
…1001101110100000
320101101002010201000
42103123021232200
520031140242410
61045232512000
7115202166552
oct22333115640
96341063630
102473368480
11105a174390
125903ab600
1330556675b
141966bb4d2
15e7219dc0
hex936c9ba0

2473368480 has 768 divisors, whose sum is σ = 10311598080. Its totient is φ = 547430400.

The previous prime is 2473368433. The next prime is 2473368481. The reversal of 2473368480 is 848633742.

2473368480 is a `hidden beast` number, since 247 + 3 + 368 + 48 + 0 = 666.

It is a super-2 number, since 2×24733684802 = 12235103275715020800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2473368481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33881724 + ... + 33881796.

It is an arithmetic number, because the mean of its divisors is an integer number (13426560).

Almost surely, 22473368480 is an apocalyptic number.

2473368480 is a gapful number since it is divisible by the number (20) 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 2473368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155799040).

2473368480 is an abundant number, since it is smaller than the sum of its proper divisors (7838229600).

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

2473368480 is a wasteful number, since it uses less digits than its factorization.

2473368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2473368480 is about 49732.9717591861. The cubic root of 2473368480 is about 1352.3723225598.

The spelling of 2473368480 in words is "two billion, four hundred seventy-three million, three hundred sixty-eight thousand, four hundred eighty".