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25500085680 = 24351722328027
BaseRepresentation
bin10111101111111011…
…000110110110110000
32102211010220120101210
4113233323012312300
5404211010220210
615414203200120
71561626103056
oct275773066660
972733816353
1025500085680
11a8a6151883
124b37b16040
13253501b5c4
14133c9621d6
159e3a55e20
hex5efec6db0

25500085680 has 160 divisors (see below), whose sum is σ = 84078618624. Its totient is φ = 6371094528.

The previous prime is 25500085643. The next prime is 25500085691. The reversal of 25500085680 is 8658000552.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895827 + ... + 923853.

Almost surely, 225500085680 is an apocalyptic number.

25500085680 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 25500085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42039309312).

25500085680 is an abundant number, since it is smaller than the sum of its proper divisors (58578532944).

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

25500085680 is a wasteful number, since it uses less digits than its factorization.

25500085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28283 (or 28277 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 25500085680 in words is "twenty-five billion, five hundred million, eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 223 240 255 272 340 408 446 510 669 680 816 892 1020 1115 1338 1360 1784 2040 2230 2676 3345 3568 3791 4080 4460 5352 6690 7582 8920 10704 11373 13380 15164 17840 18955 22746 26760 28027 30328 37910 45492 53520 56054 56865 60656 75820 84081 90984 112108 113730 140135 151640 168162 181968 224216 227460 280270 303280 336324 420405 448432 454920 476459 560540 672648 840810 909840 952918 1121080 1345296 1429377 1681620 1905836 2242160 2382295 2858754 3363240 3811672 4764590 5717508 6250021 6726480 7146885 7623344 9529180 11435016 12500042 14293770 18750063 19058360 22870032 25000084 28587540 31250105 37500126 38116720 50000168 57175080 62500210 75000252 93750315 100000336 106250357 114350160 125000420 150000504 187500630 212500714 250000840 300001008 318751071 375001260 425001428 500001680 531251785 637502142 750002520 850002856 1062503570 1275004284 1500005040 1593755355 1700005712 2125007140 2550008568 3187510710 4250014280 5100017136 6375021420 8500028560 12750042840 25500085680