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10285117986 = 231113107112031
BaseRepresentation
bin10011001010000101…
…00111001000100010
3222112210021010110210
421211002213020202
5132030442233421
64420325434550
7512606026503
oct114502471042
928483233423
1010285117986
1143a8754410
121bb056ba56
13c7baa7540
146d7d80baa
15402e2c576
hex2650a7222

10285117986 has 64 divisors (see below), whose sum is σ = 24392503296. Its totient is φ = 2850043200.

The previous prime is 10285117961. The next prime is 10285118021. The reversal of 10285117986 is 68971158201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35791 + ... + 147821.

It is an arithmetic number, because the mean of its divisors is an integer number (381132864).

Almost surely, 210285117986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285117986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196251648).

10285117986 is an abundant number, since it is smaller than the sum of its proper divisors (14107385310).

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

10285117986 is a wasteful number, since it uses less digits than its factorization.

10285117986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112167.

The product of its (nonzero) digits is 241920, while the sum is 48.

It can be divided in two parts, 10285 and 117986, that added together give a triangular number (128271 = T506).

The spelling of 10285117986 in words is "ten billion, two hundred eighty-five million, one hundred seventeen thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 107 143 214 286 321 429 642 858 1177 1391 2354 2782 3531 4173 7062 8346 15301 30602 45903 91806 112031 224062 336093 672186 1232341 1456403 2464682 2912806 3697023 4369209 7394046 8738418 11987317 16020433 23974634 32040866 35961951 48061299 71923902 96122598 131860487 155835121 263720974 311670242 395581461 467505363 791162922 935010726 1714186331 3428372662 5142558993 10285117986