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10826114260 = 22513233175711
BaseRepresentation
bin10100001010100100…
…10110010011010100
31000221111020120211211
422011102112103110
5134132441124020
64550133111204
7532165311223
oct120522262324
930844216754
1010826114260
114656071975
122121788504
131036bb4790
14749b68cba
1543569285a
hex2854964d4

10826114260 has 96 divisors (see below), whose sum is σ = 25633262592. Its totient is φ = 3810808320.

The previous prime is 10826114249. The next prime is 10826114261. The reversal of 10826114260 is 6241162801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10826114261) 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, 1892805 + ... + 1898515.

It is an arithmetic number, because the mean of its divisors is an integer number (267013152).

Almost surely, 210826114260 is an apocalyptic number.

10826114260 is a gapful number since it is divisible by the number (10) 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 10826114260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816631296).

10826114260 is an abundant number, since it is smaller than the sum of its proper divisors (14807148332).

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

10826114260 is a wasteful number, since it uses less digits than its factorization.

10826114260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6073 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 10826114260 in words is "ten billion, eight hundred twenty-six million, one hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 317 460 598 634 1196 1268 1495 1585 2990 3170 4121 5711 5980 6340 7291 8242 11422 14582 16484 20605 22844 28555 29164 36455 41210 57110 72910 74243 82420 94783 114220 131353 145820 148486 189566 262706 296972 371215 379132 473915 525412 656765 742430 947830 1313530 1484860 1707589 1810387 1895660 2627060 3415178 3620774 6830356 7241548 8537945 9051935 17075890 18103870 23535031 34151780 36207740 41638901 47070062 83277802 94140124 117675155 166555604 208194505 235350310 416389010 470700620 541305713 832778020 1082611426 2165222852 2706528565 5413057130 10826114260