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25326010140 = 22354334728289
BaseRepresentation
bin10111100101100011…
…000011111100011100
32102101000100121122120
4113211203003330130
5403331424311030
615345024142540
71554413351154
oct274543037434
972330317576
1025326010140
11a8169662a2
124aa9767a50
132507c40222
1413237ab764
159d361d010
hex5e58c3f1c

25326010140 has 96 divisors (see below), whose sum is σ = 72773648640. Its totient is φ = 6577299456.

The previous prime is 25326010123. The next prime is 25326010141. The reversal of 25326010140 is 4101062352.

It is a super-2 number, since 2×253260101402 (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 25326010140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25326010141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881116 + ... + 909404.

It is an arithmetic number, because the mean of its divisors is an integer number (758058840).

Almost surely, 225326010140 is an apocalyptic number.

25326010140 is a gapful number since it is divisible by the number (20) 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 25326010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386824320).

25326010140 is an abundant number, since it is smaller than the sum of its proper divisors (47447638500).

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

25326010140 is a wasteful number, since it uses less digits than its factorization.

25326010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28691 (or 28689 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 25326010140 its reverse (4101062352), we get a palindrome (29427072492).

The spelling of 25326010140 in words is "twenty-five billion, three hundred twenty-six million, ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 347 430 516 645 694 860 1041 1290 1388 1735 2082 2580 3470 4164 5205 6940 10410 14921 20820 28289 29842 44763 56578 59684 74605 84867 89526 113156 141445 149210 169734 179052 223815 282890 298420 339468 424335 447630 565780 848670 895260 1216427 1697340 2432854 3649281 4865708 6082135 7298562 9816283 12164270 14597124 18246405 19632566 24328540 29448849 36492810 39265132 49081415 58897698 72985620 98162830 117795396 147244245 196325660 294488490 422100169 588976980 844200338 1266300507 1688400676 2110500845 2532601014 4221001690 5065202028 6331502535 8442003380 12663005070 25326010140