Search a number
-
+
2638746112 = 296178353
BaseRepresentation
bin1001110101001000…
…0001001000000000
320210220021012011111
42131102001020000
520401004333422
61113501253104
7122250654232
oct23522011000
96726235144
102638746112
11113455a012
12617864194
133308bab42
141b064a252
151069d5a77
hex9d481200

2638746112 has 40 divisors (see below), whose sum is σ = 5281515756. Its totient is φ = 1317076992.

The previous prime is 2638746109. The next prime is 2638746119. The reversal of 2638746112 is 2116478362.

It can be written as a sum of positive squares in 2 ways, for example, as 2506404096 + 132342016 = 50064^2 + 11504^2 .

It is not an unprimeable number, because it can be changed into a prime (2638746119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311728 + ... + 320080.

Almost surely, 22638746112 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 2638746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640757878).

2638746112 is an abundant number, since it is smaller than the sum of its proper divisors (2642769644).

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

2638746112 is an frugal number, since it uses more digits than its factorization.

2638746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988 (or 8972 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 2638746112 is about 51368.7269844212. The cubic root of 2638746112 is about 1381.8658008269.

The spelling of 2638746112 in words is "two billion, six hundred thirty-eight million, seven hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 617 1234 2468 4936 8353 9872 16706 19744 33412 39488 66824 78976 133648 157952 267296 315904 534592 1069184 2138368 4276736 5153801 10307602 20615204 41230408 82460816 164921632 329843264 659686528 1319373056 2638746112