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25864046852 = 2273153896317
BaseRepresentation
bin11000000101100111…
…100000100100000100
32110202111202201021012
4120011213200210010
5410432143444402
615514244141352
71603635525260
oct300547404404
973674681235
1025864046852
11aa72642236
125019997858
132592552347
1413750250a0
15a1599b452
hex6059e0904

25864046852 has 96 divisors (see below), whose sum is σ = 55024220160. Its totient is φ = 10404725760.

The previous prime is 25864046849. The next prime is 25864046861.

25864046852 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×258640468522 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25864046852.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4091198 + ... + 4097514.

It is an arithmetic number, because the mean of its divisors is an integer number (573168960).

Almost surely, 225864046852 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 25864046852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27512110080).

25864046852 is an abundant number, since it is smaller than the sum of its proper divisors (29160173308).

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

25864046852 is a wasteful number, since it uses less digits than its factorization.

25864046852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 25864046852 in words is "twenty-five billion, eight hundred sixty-four million, forty-six thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 53 62 89 106 124 178 212 217 356 371 434 623 742 868 1246 1484 1643 2492 2759 3286 4717 5518 6317 6572 9434 11036 11501 12634 18868 19313 23002 25268 33019 38626 44219 46004 66038 77252 88438 132076 146227 176876 195827 292454 334801 391654 562213 584908 669602 783308 1023589 1124426 1339204 1370789 2047178 2248852 2343607 2741578 3935491 4094356 4687214 5483156 7870982 9374428 10378831 15741964 17428603 20757662 29797289 34857206 41515324 59594578 69714412 72651817 119189156 122000221 145303634 208581023 244000442 290607268 417162046 488000884 834324092 923715959 1847431918 3694863836 6466011713 12932023426 25864046852