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10086446480 = 2451159194269
BaseRepresentation
bin10010110010011001…
…01111010110010000
3222000221102120101212
421121030233112100
5131124112241410
64344511315252
7504644244335
oct113114572620
928027376355
1010086446480
114306599590
121b55b1bb28
13c49896b36
146b982698c
153e0786b05
hex25932f590

10086446480 has 80 divisors (see below), whose sum is σ = 26016638400. Its totient is φ = 3605614080.

The previous prime is 10086446479. The next prime is 10086446497. The reversal of 10086446480 is 8464468001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45215 + ... + 149054.

It is an arithmetic number, because the mean of its divisors is an integer number (325207980).

Almost surely, 210086446480 is an apocalyptic number.

10086446480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10086446480 is an abundant number, since it is smaller than the sum of its proper divisors (15930191920).

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

10086446480 is a wasteful number, since it uses less digits than its factorization.

10086446480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194352 (or 194346 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 10086446480 in words is "ten billion, eighty-six million, four hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 25960 51920 194269 388538 777076 971345 1554152 1942690 2136959 3108304 3885380 4273918 7770760 8547836 10684795 11461871 15541520 17095672 21369590 22923742 34191344 42739180 45847484 57309355 85478360 91694968 114618710 126080581 170956720 183389936 229237420 252161162 458474840 504322324 630402905 916949680 1008644648 1260805810 2017289296 2521611620 5043223240 10086446480