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1086420850065 = 325531078942221
BaseRepresentation
bin11111100111100111011…
…10101001010110010001
310211212020112111110220200
433303303232221112101
5120244442214200230
62151032253125413
7141330343600065
oct17636356512621
93755215443820
101086420850065
11389826279731
12156680189869
137b5ab72b005
143a823c61aa5
151d3d879e160
hexfcf3ba9591

1086420850065 has 48 divisors (see below), whose sum is σ = 1918883500560. Its totient is φ = 568425761280.

The previous prime is 1086420849977. The next prime is 1086420850087. The reversal of 1086420850065 is 5600580246801.

1086420850065 is a `hidden beast` number, since 1 + 0 + 8 + 64 + 20 + 8 + 500 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 123842055744 + 962578794321 = 351912^2 + 981111^2 .

It is not a de Polignac number, because 1086420850065 - 27 = 1086420849937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1086420850065.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25710655 + ... + 25752875.

It is an arithmetic number, because the mean of its divisors is an integer number (39976739595).

Almost surely, 21086420850065 is an apocalyptic number.

1086420850065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1086420850065 is a deficient number, since it is larger than the sum of its proper divisors (832462650495).

1086420850065 is a wasteful number, since it uses less digits than its factorization.

1086420850065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53074 (or 53071 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1086420850065 in words is "one trillion, eighty-six billion, four hundred twenty million, eight hundred fifty thousand, sixty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 10789 32367 42221 53945 97101 126663 161835 211105 379989 485505 571817 633315 1715451 1899945 2237713 2859085 5146353 6713139 8577255 11188565 20139417 25731765 33565695 100697085 455522369 1366567107 2277611845 4099701321 6832835535 20498506605 24142685557 72428056671 120713427785 217284170013 362140283355 1086420850065