Search a number
-
+
248146325256 = 23347219987877
BaseRepresentation
bin1110011100011010101…
…1000110111100001000
3212201111202002102102010
43213012223012330020
513031200424402011
6305555152535520
723633203651134
oct3470653067410
9781452072363
10248146325256
1196269149a55
12401138515a0
131a528027c2b
14c0205663c4
1566c520c1a6
hex39c6ac6f08

248146325256 has 32 divisors (see below), whose sum is σ = 633565088640. Its totient is φ = 80955538368.

The previous prime is 248146325129. The next prime is 248146325257. The reversal of 248146325256 is 652523641842.

248146325256 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248146325257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109992811 + ... + 109995066.

It is an arithmetic number, because the mean of its divisors is an integer number (19798909020).

Almost surely, 2248146325256 is an apocalyptic number.

It is an amenable number.

248146325256 is an abundant number, since it is smaller than the sum of its proper divisors (385418763384).

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

248146325256 is a wasteful number, since it uses less digits than its factorization.

248146325256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219987933 (or 219987929 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The spelling of 248146325256 in words is "two hundred forty-eight billion, one hundred forty-six million, three hundred twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 219987877 439975754 659963631 879951508 1319927262 1759903016 2639854524 5279709048 10339430219 20678860438 31018290657 41357720876 62036581314 82715441752 124073162628 248146325256