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25868218896 = 243213210312
BaseRepresentation
bin11000000101110111…
…011011001000010000
32110202210121200020100
4120011313123020100
5410434231001041
615514513412400
71604016142542
oct300567331020
973683550210
1025868218896
11aa74a31803
12501b26a100
132593383300
1413757cd692
15a160226b6
hex605ddb210

25868218896 has 135 divisors (see below), whose sum is σ = 78468419757. Its totient is φ = 7951731840.

The previous prime is 25868218877. The next prime is 25868218913. The reversal of 25868218896 is 69881286852.

The square root of 25868218896 is 160836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3826659600 + 22041559296 = 61860^2 + 148464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25089901 + ... + 25090931.

Almost surely, 225868218896 is an apocalyptic number.

25868218896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

25868218896 is the 160836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25868218896

25868218896 is an abundant number, since it is smaller than the sum of its proper divisors (52600200861).

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

25868218896 is a wasteful number, since it uses less digits than its factorization.

25868218896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 1049 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 25868218896 in words is "twenty-five billion, eight hundred sixty-eight million, two hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1031 1352 1521 1872 2028 2062 2704 3042 3093 4056 4124 6084 6186 8112 8248 9279 12168 12372 13403 16496 18558 24336 24744 26806 37116 40209 49488 53612 74232 80418 107224 120627 148464 160836 174239 214448 241254 321672 348478 482508 522717 643344 696956 965016 1045434 1062961 1393912 1568151 1930032 2090868 2125922 2787824 3136302 3188883 4181736 4251844 6272604 6377766 8363472 8503688 9566649 12545208 12755532 13818493 17007376 19133298 25090416 25511064 27636986 38266596 41455479 51022128 55273972 76533192 82910958 110547944 124366437 153066384 165821916 179640409 221095888 248732874 331643832 359280818 497465748 538921227 663287664 718561636 994931496 1077842454 1437123272 1616763681 1989862992 2155684908 2874246544 3233527362 4311369816 6467054724 8622739632 12934109448 25868218896