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25688519680 = 210523218143
BaseRepresentation
bin10111111011001001…
…111011010000000000
32110022021111000020211
4113323021323100000
5410102230112210
615445014043504
71566404546245
oct277311732000
973267430224
1025688519680
11a99255505a
124b8b049594
132565086305
1413599b35cc
15a0537838a
hex5fb27b400

25688519680 has 88 divisors (see below), whose sum is σ = 64301870592. Its totient is φ = 9828605952.

The previous prime is 25688519677. The next prime is 25688519719. The reversal of 25688519680 is 8691588652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8689 + ... + 226831.

Almost surely, 225688519680 is an apocalyptic number.

25688519680 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 25688519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32150935296).

25688519680 is an abundant number, since it is smaller than the sum of its proper divisors (38613350912).

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

25688519680 is a wasteful number, since it uses less digits than its factorization.

25688519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218191 (or 218173 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 58.

The spelling of 25688519680 in words is "twenty-five billion, six hundred eighty-eight million, five hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1024 1280 1472 1840 2560 2944 3680 5120 5888 7360 11776 14720 23552 29440 58880 117760 218143 436286 872572 1090715 1745144 2181430 3490288 4362860 5017289 6980576 8725720 10034578 13961152 17451440 20069156 25086445 27922304 34902880 40138312 50172890 55844608 69805760 80276624 100345780 111689216 139611520 160553248 200691560 223378432 279223040 321106496 401383120 558446080 642212992 802766240 1116892160 1284425984 1605532480 2568851968 3211064960 5137703936 6422129920 12844259840 25688519680