Search a number
-
+
2648383507080 = 233552933132971
BaseRepresentation
bin100110100010011111111…
…101010100101010001000
3100101011221101210201200000
4212202133331110222020
5321342342134211310
65344352305443000
7362224261244343
oct46423775245210
910334841721600
102648383507080
1193119a4a0373
12369336340460
131629840a27bc
149227a8b945a
1548d558344c0
hex2689ff54a88

2648383507080 has 384 divisors, whose sum is σ = 8988136859520. Its totient is φ = 701340456960.

The previous prime is 2648383507043. The next prime is 2648383507111. The reversal of 2648383507080 is 807053838462.

2648383507080 is a `hidden beast` number, since 2 + 6 + 483 + 83 + 5 + 0 + 7 + 0 + 80 = 666.

2648383507080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 891409995 + ... + 891412965.

It is an arithmetic number, because the mean of its divisors is an integer number (23406606405).

Almost surely, 22648383507080 is an apocalyptic number.

2648383507080 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 2648383507080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494068429760).

2648383507080 is an abundant number, since it is smaller than the sum of its proper divisors (6339753352440).

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

2648383507080 is a wasteful number, since it uses less digits than its factorization.

2648383507080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2648383507080 in words is "two trillion, six hundred forty-eight billion, three hundred eighty-three million, five hundred seven thousand, eighty".