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10838308248 = 2333177340433
BaseRepresentation
bin10100001100000001…
…10111010110011000
31000222100012002212000
422012000313112120
5134144101330443
64551250321000
7532404046215
oct120600672630
930870162760
1010838308248
114661a40449
122125889160
131039593b61
1474b620b0c
154367a08d3
hex286037598

10838308248 has 128 divisors (see below), whose sum is σ = 32314852800. Its totient is φ = 3353591808.

The previous prime is 10838308223. The next prime is 10838308249. The reversal of 10838308248 is 84280383801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838308249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247840 + ... + 288272.

Almost surely, 210838308248 is an apocalyptic number.

10838308248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838308248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157426400).

10838308248 is an abundant number, since it is smaller than the sum of its proper divisors (21476544552).

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

10838308248 is a wasteful number, since it uses less digits than its factorization.

10838308248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40538 (or 40528 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10838308248 in words is "ten billion, eight hundred thirty-eight million, three hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 102 108 136 146 153 204 216 219 292 306 408 438 459 584 612 657 876 918 1224 1241 1314 1752 1836 1971 2482 2628 3672 3723 3942 4964 5256 7446 7884 9928 11169 14892 15768 22338 29784 33507 40433 44676 67014 80866 89352 121299 134028 161732 242598 268056 323464 363897 485196 687361 727794 970392 1091691 1374722 1455588 2062083 2183382 2749444 2911176 2951609 4124166 4366764 5498888 5903218 6186249 8248332 8733528 8854827 11806436 12372498 16496664 17709654 18558747 23612872 24744996 26564481 35419308 37117494 49489992 50177353 53128962 70838616 74234988 79693443 100354706 106257924 148469976 150532059 159386886 200709412 212515848 301064118 318773772 401418824 451596177 602128236 637547544 903192354 1204256472 1354788531 1806384708 2709577062 3612769416 5419154124 10838308248