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10825728888 = 23313417311593
BaseRepresentation
bin10100001010100001…
…11000001101111000
31000221110112000012210
422011100320031320
5134132341311023
64550120535120
7532162114542
oct120520701570
930843460183
1010825728888
114655929387
1221216214a0
131036aab250
14749aa8692
15435618593
hex285438378

10825728888 has 128 divisors (see below), whose sum is σ = 30268687680. Its totient is φ = 3204956160.

The previous prime is 10825728887. The next prime is 10825728899. The reversal of 10825728888 is 88882752801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825728883) 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, 928020 + ... + 939612.

Almost surely, 210825728888 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 10825728888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134343840).

10825728888 is an abundant number, since it is smaller than the sum of its proper divisors (19442958792).

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

10825728888 is a wasteful number, since it uses less digits than its factorization.

10825728888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11729 (or 11725 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 57.

The spelling of 10825728888 in words is "ten billion, eight hundred twenty-five million, seven hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 73 78 82 104 123 146 156 164 219 246 292 312 328 438 492 533 584 876 949 984 1066 1599 1752 1898 2132 2847 2993 3198 3796 4264 5694 5986 6396 7592 8979 11388 11593 11972 12792 17958 22776 23186 23944 34779 35916 38909 46372 69558 71832 77818 92744 116727 139116 150709 155636 233454 278232 301418 311272 452127 466908 475313 602836 846289 904254 933816 950626 1205672 1425939 1692578 1808508 1901252 2538867 2851878 3385156 3617016 3802504 5077734 5703756 6179069 6770312 10155468 11001757 11407512 12358138 18537207 20310936 22003514 24716276 33005271 34697849 37074414 44007028 49432552 66010542 69395698 74148828 88014056 104093547 132021084 138791396 148297656 208187094 264042168 277582792 416374188 451072037 832748376 902144074 1353216111 1804288148 2706432222 3608576296 5412864444 10825728888