Search a number
-
+
2663062272 = 2835133789
BaseRepresentation
bin1001111010111011…
…0001101100000000
320212121000120200000
42132232301230000
520423220443042
61120130400000
7122664440643
oct23656615400
96777016600
102663062272
111147258112
12623a30000
133359529c0
141b3979a5a
15108bda74c
hex9ebb1b00

2663062272 has 432 divisors, whose sum is σ = 8905871520. Its totient is φ = 788299776.

The previous prime is 2663062229. The next prime is 2663062273. The reversal of 2663062272 is 2722603662.

2663062272 is a `hidden beast` number, since 26 + 6 + 3 + 0 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2663062273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29922004 + ... + 29922092.

Almost surely, 22663062272 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 2663062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452935760).

2663062272 is an abundant number, since it is smaller than the sum of its proper divisors (6242809248).

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

2663062272 is an equidigital number, since it uses as much as digits as its factorization.

2663062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2663062272 is about 51604.8667472362. The cubic root of 2663062272 is about 1386.0974800725.

The spelling of 2663062272 in words is "two billion, six hundred sixty-three million, sixty-two thousand, two hundred seventy-two".