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85732302427120 = 24517198377317771
BaseRepresentation
bin10011011111100100011011…
…011011101001001111110000
3102020112221001120011212101201
4103133210123123221033300
542214114223410131440
6502200513115340544
724025645242605416
oct2337443333511760
9366487046155351
1085732302427120
1125353957757958
1297475b2751754
1338ab6a17702cb
14172567378b2b6
159da16203c19a
hex4df91b6e93f0

85732302427120 has 80 divisors (see below), whose sum is σ = 211054484335968. Its totient is φ = 32275426058240.

The previous prime is 85732302427117. The next prime is 85732302427169. The reversal of 85732302427120 is 2172420323758.

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

It is a super-2 number, since 2×857323024271202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 269633835 + ... + 269951605.

Almost surely, 285732302427120 is an apocalyptic number.

85732302427120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85732302427120 is an abundant number, since it is smaller than the sum of its proper divisors (125322181908848).

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

85732302427120 is a wasteful number, since it uses less digits than its factorization.

85732302427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516178 (or 516172 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 85732302427120 in words is "eighty-five trillion, seven hundred thirty-two billion, three hundred two million, four hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 198377 317771 396754 635542 793508 991885 1271084 1587016 1588855 1983770 2542168 3174032 3177710 3372409 3967540 5084336 5402107 6355420 6744818 7935080 10804214 12710840 13489636 15870160 16862045 21608428 25421680 26979272 27010535 33724090 43216856 53958544 54021070 67448180 86433712 108042140 134896360 216084280 269792720 432168560 63038457667 126076915334 252153830668 315192288335 504307661336 630384576670 1008615322672 1071653780339 1260769153340 2143307560678 2521538306680 4286615121356 5043076613360 5358268901695 8573230242712 10716537803390 17146460485424 21433075606780 42866151213560 85732302427120