Search a number
-
+
248260863639616 = 261792110032
BaseRepresentation
bin111000011100101010111100…
…100101101100000001000000
31012120000111200102220101211021
4320130222330211230001000
5230020001222042431431
62240001244414555224
7103202153430632212
oct7034527445540100
91176014612811737
10248260863639616
1172115928417063
1223a16750b08b14
13a86ab8c0cc4a9
144543c65cc65b2
151da7c7c641b11
hexe1cabc96c040

248260863639616 has 63 divisors (see below), whose sum is σ = 495455249355871. Its totient is φ = 123425747237504.

The previous prime is 248260863639587. The next prime is 248260863639703. The reversal of 248260863639616 is 616936368062842.

The square root of 248260863639616 is 15756296.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22563010371 + ... + 22563021373.

Almost surely, 2248260863639616 is an apocalyptic number.

248260863639616 is the 15756296-th square number.

It is an amenable number.

248260863639616 is a deficient number, since it is larger than the sum of its proper divisors (247194385716255).

248260863639616 is an frugal number, since it uses more digits than its factorization.

248260863639616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22376 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 70.

The spelling of 248260863639616 in words is "two hundred forty-eight trillion, two hundred sixty billion, eight hundred sixty-three million, six hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 179 358 716 1432 2864 5728 11003 11456 22006 32041 44012 64082 88024 128164 176048 256328 352096 512656 704192 1025312 1969537 2050624 3939074 7878148 15756296 31512592 63025184 121066009 126050368 242132018 352547123 484264036 705094246 968528072 1410188492 1937056144 2820376984 3874112288 5640753968 7748224576 11281507936 21670815611 22563015872 43341631222 86683262444 173366524888 346733049776 693466099552 1386932199104 3879075994369 7758151988738 15516303977476 31032607954952 62065215909904 124130431819808 248260863639616