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25813490688 = 210323190353
BaseRepresentation
bin11000000010100110…
…101001110000000000
32110121222122012020200
4120002212221300000
5410331223200223
615505240405200
71602453023226
oct300246516000
973558565220
1025813490688
11aa47051687
125004a76800
132584c30a5b
14136c424b16
15a11311a43
hex6029a9c00

25813490688 has 132 divisors (see below), whose sum is σ = 76941129408. Its totient is φ = 8326840320.

The previous prime is 25813490671. The next prime is 25813490699. The reversal of 25813490688 is 88609431852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240520 + ... + 330872.

It is an arithmetic number, because the mean of its divisors is an integer number (582887344).

Almost surely, 225813490688 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 25813490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38470564704).

25813490688 is an abundant number, since it is smaller than the sum of its proper divisors (51127638720).

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

25813490688 is a wasteful number, since it uses less digits than its factorization.

25813490688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90410 (or 90389 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 25813490688 in words is "twenty-five billion, eight hundred thirteen million, four hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8928 9216 11904 15872 17856 23808 31744 35712 47616 71424 90353 95232 142848 180706 271059 285696 361412 542118 722824 813177 1084236 1445648 1626354 2168472 2800943 2891296 3252708 4336944 5601886 5782592 6505416 8402829 8673888 11203772 11565184 13010832 16805658 17347776 22407544 23130368 25208487 26021664 33611316 34695552 44815088 46260736 50416974 52043328 67222632 69391104 89630176 92521472 100833948 104086656 134445264 138782208 179260352 201667896 208173312 268890528 277564416 358520704 403335792 416346624 537781056 717041408 806671584 832693248 1075562112 1434082816 1613343168 2151124224 2868165632 3226686336 4302248448 6453372672 8604496896 12906745344 25813490688