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10439081310 = 2357179331839
BaseRepresentation
bin10011011100011011…
…11011110101011110
3222221111222021110010
421232031323311132
5132334401100220
64443505424050
7516455504250
oct115615736536
928844867403
1010439081310
114477653329
12203403b026
13ca49633b8
147105bbcd0
154116e11e0
hex26e37bd5e

10439081310 has 128 divisors (see below), whose sum is σ = 28914278400. Its totient is φ = 2362757760.

The previous prime is 10439081297. The next prime is 10439081371. The reversal of 10439081310 is 1318093401.

It is a super-2 number, since 2×104390813102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12441871 + ... + 12442709.

It is an arithmetic number, because the mean of its divisors is an integer number (225892800).

Almost surely, 210439081310 is an apocalyptic number.

10439081310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10439081310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457139200).

10439081310 is an abundant number, since it is smaller than the sum of its proper divisors (18475197090).

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

10439081310 is a wasteful number, since it uses less digits than its factorization.

10439081310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10439081310 in words is "ten billion, four hundred thirty-nine million, eighty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 210 331 358 537 662 839 895 993 1074 1253 1655 1678 1790 1986 2317 2506 2517 2685 3310 3759 4195 4634 4965 5034 5370 5873 6265 6951 7518 8390 9930 11585 11746 12530 12585 13902 17619 18795 23170 25170 29365 34755 35238 37590 58730 59249 69510 88095 118498 150181 176190 177747 277709 296245 300362 355494 414743 450543 555418 592490 750905 829486 833127 888735 901086 1051267 1244229 1388545 1501810 1666254 1777470 1943963 2073715 2102534 2252715 2488458 2777090 3153801 3887926 4147430 4165635 4505430 5256335 5831889 6221145 6307602 8331270 9719815 10512670 11663778 12442290 15769005 19439630 29159445 31538010 49709911 58318890 99419822 149129733 248549555 298259466 347969377 497099110 695938754 745648665 1043908131 1491297330 1739846885 2087816262 3479693770 5219540655 10439081310