Search a number
-
+
2506036341 = 379101104693
BaseRepresentation
bin1001010101011111…
…0001010001110101
320110122112211120210
42111113301101311
520113021130331
61052401020033
7116046646254
oct22527612165
96418484523
102506036341
111076657216
1259b324619
1330c263b53
1419ab8279b
15ea01e446
hex955f1475

2506036341 has 16 divisors (see below), whose sum is σ = 3417212160. Its totient is φ = 1633195200.

The previous prime is 2506036339. The next prime is 2506036349. The reversal of 2506036341 is 1436306052.

It is not a de Polignac number, because 2506036341 - 21 = 2506036339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2506036299 and 2506036308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506036349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28410 + ... + 76283.

It is an arithmetic number, because the mean of its divisors is an integer number (213575760).

Almost surely, 22506036341 is an apocalyptic number.

It is an amenable number.

2506036341 is a deficient number, since it is larger than the sum of its proper divisors (911175819).

2506036341 is a wasteful number, since it uses less digits than its factorization.

2506036341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104876.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2506036341 is about 50060.3270165108. The cubic root of 2506036341 is about 1358.3002736640.

The spelling of 2506036341 in words is "two billion, five hundred six million, thirty-six thousand, three hundred forty-one".

Divisors: 1 3 79 101 237 303 7979 23937 104693 314079 8270747 10573993 24812241 31721979 835345447 2506036341