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86285751376068 = 2234673395711809
BaseRepresentation
bin10011100111100111110111…
…100011110101100011000100
3102022111211121101000111210000
4103213213313203311203010
542302201204323013233
6503303043231201300
724113640233214426
oct2347476743654304
9368454541014700
1086285751376068
1125547644206832
12981690b676230
13391b93306179a
1417443773b0816
159e97551dad13
hex4e79f78f58c4

86285751376068 has 60 divisors (see below), whose sum is σ = 225903166669180. Its totient is φ = 28719180177408.

The previous prime is 86285751376067. The next prime is 86285751376087. The reversal of 86285751376068 is 86067315758268.

86285751376068 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 5 + 7 + 5 + 1 + 3 + 7 + 606 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16457366605824 + 69828384770244 = 4056768^2 + 8356338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86285751375987 and 86285751376005.

It is not an unprimeable number, because it can be changed into a prime (86285751376067) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 197637853 + ... + 198073956.

Almost surely, 286285751376068 is an apocalyptic number.

It is an amenable number.

86285751376068 is an abundant number, since it is smaller than the sum of its proper divisors (139617415293112).

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

86285751376068 is a wasteful number, since it uses less digits than its factorization.

86285751376068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395712498 (or 395712487 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 86285751376068 in words is "eighty-six trillion, two hundred eighty-five billion, seven hundred fifty-one million, three hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 673 1346 2019 2692 4038 6057 8076 12114 18171 24228 36342 54513 72684 109026 218052 395711809 791423618 1187135427 1582847236 2374270854 3561406281 4748541708 7122812562 10684218843 14245625124 21368437686 32052656529 42736875372 64105313058 128210626116 266314047457 532628094914 798942142371 1065256189828 1597884284742 2396826427113 3195768569484 4793652854226 7190479281339 9587305708452 14380958562678 21571437844017 28761917125356 43142875688034 86285751376068