Search a number
-
+
248021356982696 = 23114778237665407
BaseRepresentation
bin111000011001001011111000…
…111000010011000110101000
31012112011121110210212121022022
4320121023320320103012220
5230002040214341421241
62235255234412044012
7103145644302634343
oct7031137070230650
91175147423777268
10248021356982696
11720332a3127880
122399824a763608
13a85140ccc1b5b
144536424d7945a
151da1910b8654b
hexe192f8e131a8

248021356982696 has 64 divisors (see below), whose sum is σ = 518176674938880. Its totient is φ = 110324202546880.

The previous prime is 248021356982593. The next prime is 248021356982717. The reversal of 248021356982696 is 696289653120842.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28523225 + ... + 36188631.

It is an arithmetic number, because the mean of its divisors is an integer number (8096510545920).

Almost surely, 2248021356982696 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 248021356982696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259088337469440).

248021356982696 is an abundant number, since it is smaller than the sum of its proper divisors (270155317956184).

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

248021356982696 is a wasteful number, since it uses less digits than its factorization.

248021356982696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673294 (or 7673290 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 71.

The spelling of 248021356982696 in words is "two hundred forty-eight trillion, twenty-one billion, three hundred fifty-six million, nine hundred eighty-two thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 7823 15646 31292 62584 86053 172106 344212 367681 688424 735362 1470724 2941448 4044491 7665407 8088982 15330814 16177964 30661628 32355928 61323256 84319477 168638954 337277908 360274129 674555816 720548258 1441096516 2882193032 3963015419 7926030838 15852061676 31704123352 59966478961 119932957922 239865915844 479731831688 659631268571 1319262537142 2638525074284 2818424511167 5277050148568 5636849022334 11273698044668 22547396089336 31002669622837 62005339245674 124010678491348 248021356982696