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25303939668 = 22327264722171
BaseRepresentation
bin10111100100001110…
…110111101001010100
32102022110211022122200
4113210032313221110
5403310302032133
615342515124500
71554024636600
oct274416675124
972273738580
1025303939668
11a805461437
124aa22a3730
1325034b3587
1413208a4500
159d170d913
hex5e43b7a54

25303939668 has 108 divisors (see below), whose sum is σ = 74523994272. Its totient is φ = 7218197280.

The previous prime is 25303939649. The next prime is 25303939673. The reversal of 25303939668 is 86693930352.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1130223 + ... + 1152393.

It is an arithmetic number, because the mean of its divisors is an integer number (690036984).

Almost surely, 225303939668 is an apocalyptic number.

25303939668 is a gapful number since it is divisible by the number (28) 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 25303939668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37261997136).

25303939668 is an abundant number, since it is smaller than the sum of its proper divisors (49220054604).

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

25303939668 is a wasteful number, since it uses less digits than its factorization.

25303939668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22842 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 25303939668 in words is "twenty-five billion, three hundred three million, nine hundred thirty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 647 882 1294 1764 1941 2588 3882 4529 5823 7764 9058 11646 13587 18116 22171 23292 27174 31703 40761 44342 54348 63406 66513 81522 88684 95109 126812 133026 155197 163044 190218 199539 266052 285327 310394 380436 399078 465591 570654 620788 798156 931182 1086379 1141308 1396773 1862364 2172758 2793546 3259137 4345516 5587092 6518274 9777411 13036548 14344637 19554822 28689274 39109644 43033911 57378548 86067822 100412459 129101733 172135644 200824918 258203466 301237377 401649836 516406932 602474754 702887213 903712131 1204949508 1405774426 1807424262 2108661639 2811548852 3614848524 4217323278 6325984917 8434646556 12651969834 25303939668