Search a number
-
+
25728465360 = 2435132634331
BaseRepresentation
bin10111111101100010…
…010011100111010000
32110102001122110102110
4113331202103213100
5410142441342420
615453002145320
71600401230043
oct277542234720
973361573373
1025728465360
11aa03058914
124ba04b2240
132570431200
141361010c5a
15a08b18ee0
hex5fd8939d0

25728465360 has 120 divisors (see below), whose sum is σ = 86365570464. Its totient is φ = 6333150720.

The previous prime is 25728465349. The next prime is 25728465377. The reversal of 25728465360 is 6356482752.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 276606 + ... + 357725.

Almost surely, 225728465360 is an apocalyptic number.

25728465360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25728465360 is an abundant number, since it is smaller than the sum of its proper divisors (60637105104).

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

25728465360 is a wasteful number, since it uses less digits than its factorization.

25728465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634373 (or 634354 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 25728465360 in words is "twenty-five billion, seven hundred twenty-eight million, four hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 634331 1268662 1902993 2537324 3171655 3805986 5074648 6343310 7611972 8246303 9514965 10149296 12686620 15223944 16492606 19029930 24738909 25373240 30447888 32985212 38059860 41231515 49477818 50746480 65970424 76119720 82463030 98955636 107201939 123694545 131940848 152239440 164926060 197911272 214403878 247389090 321605817 329852120 395822544 428807756 494778180 536009695 643211634 659704240 857615512 989556360 1072019390 1286423268 1608029085 1715231024 1979112720 2144038780 2572846536 3216058170 4288077560 5145693072 6432116340 8576155120 12864232680 25728465360