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25214267680 = 2557191184881
BaseRepresentation
bin10111011110111000…
…110011000100100000
32102002020002111210221
4113132320303010200
5403114323031210
615325553132424
71551555511330
oct273670630440
972066074727
1025214267680
11a769884558
124a7825a114
1324baa47a24
141312a010c0
159c88e91da
hex5dee33120

25214267680 has 96 divisors (see below), whose sum is σ = 71661663360. Its totient is φ = 8189890560.

The previous prime is 25214267669. The next prime is 25214267719. The reversal of 25214267680 is 8676241252.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 571161 + ... + 613720.

It is an arithmetic number, because the mean of its divisors is an integer number (746475660).

Almost surely, 225214267680 is an apocalyptic number.

25214267680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25214267680 is an abundant number, since it is smaller than the sum of its proper divisors (46447395680).

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

25214267680 is a wasteful number, since it uses less digits than its factorization.

25214267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184922 (or 1184914 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 25214267680 in words is "twenty-five billion, two hundred fourteen million, two hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 1184881 2369762 4739524 5924405 8294167 9479048 11848810 16588334 18958096 22512739 23697620 33176668 37916192 41470835 45025478 47395240 66353336 82941670 90050956 94790480 112563695 132706672 157589173 165883340 180101912 189580960 225127390 265413344 315178346 331766680 360203824 450254780 630356692 663533360 720407648 787945865 900509560 1260713384 1327066720 1575891730 1801019120 2521426768 3151783460 3602038240 5042853536 6303566920 12607133840 25214267680