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9935685012 = 2231129289501
BaseRepresentation
bin10010100000011011…
…01000010110010100
3221122102202002112210
421100031220112110
5130322013410022
64321524113420
7501133633461
oct112015502624
927572662483
109935685012
114239487230
121b13535870
13c2458c476
146a37c0668
153d2406a0c
hex250368594

9935685012 has 72 divisors (see below), whose sum is σ = 26193297312. Its totient is φ = 2906960000.

The previous prime is 9935685007. The next prime is 9935685043. The reversal of 9935685012 is 2105865399.

It is a happy number.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 66262 + ... + 155762.

It is an arithmetic number, because the mean of its divisors is an integer number (363795796).

Almost surely, 29935685012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9935685012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096648656).

9935685012 is an abundant number, since it is smaller than the sum of its proper divisors (16257612300).

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

9935685012 is a wasteful number, since it uses less digits than its factorization.

9935685012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89577 (or 89546 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 9935685012 is about 99677.9063383657. The cubic root of 9935685012 is about 2149.8060046343.

The spelling of 9935685012 in words is "nine billion, nine hundred thirty-five million, six hundred eighty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 841 957 1276 1682 1914 2523 3364 3828 5046 9251 10092 18502 27753 37004 55506 89501 111012 179002 268503 358004 537006 984511 1074012 1969022 2595529 2953533 3938044 5191058 5907066 7786587 10382116 11814132 15573174 28550819 31146348 57101638 75270341 85652457 114203276 150540682 171304914 225811023 301081364 342609828 451622046 827973751 903244092 1655947502 2483921253 3311895004 4967842506 9935685012