Search a number
-
+
248146890137 = 677846143321
BaseRepresentation
bin1110011100011010110…
…1010000110110011001
3212201111210011010021122
43213012231100312121
513031201100441022
6305555213015025
723633211523046
oct3470655206631
9781453133248
10248146890137
11962694a53a3
1240113a84475
131a528195093
14c0206721cd
1566c52be742
hex39c6b50d99

248146890137 has 8 divisors (see below), whose sum is σ = 248548537992. Its totient is φ = 247745347200.

The previous prime is 248146890133. The next prime is 248146890139. The reversal of 248146890137 is 731098641842.

It can be written as a sum of positive squares in 4 ways, for example, as 206825757961 + 41321132176 = 454781^2 + 203276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 248146890137 - 22 = 248146890133 is a prime.

It is a super-3 number, since 3×2481468901373 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248146890133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5706437 + ... + 5749757.

It is an arithmetic number, because the mean of its divisors is an integer number (31068567249).

Almost surely, 2248146890137 is an apocalyptic number.

It is an amenable number.

248146890137 is a deficient number, since it is larger than the sum of its proper divisors (401647855).

248146890137 is an equidigital number, since it uses as much as digits as its factorization.

248146890137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52459.

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 248146890137 in words is "two hundred forty-eight billion, one hundred forty-six million, eight hundred ninety thousand, one hundred thirty-seven".

Divisors: 1 677 8461 43321 5728097 29328317 366538981 248146890137