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831213609012 = 2232376071028063
BaseRepresentation
bin11000001100010000011…
…00010010000000110100
32221110111201001100221200
430012020030102000310
5102104311140442022
61433504304212500
7114024151046403
oct14061014220064
92843451040850
10831213609012
112a057445a186
1211511790a130
13604c98bc3c7
142c333a4363a
151694d743bac
hexc188312034

831213609012 has 72 divisors (see below), whose sum is σ = 2161467549696. Its totient is φ = 269138407104.

The previous prime is 831213609011. The next prime is 831213609041. The reversal of 831213609012 is 210906312138.

831213609012 is a `hidden beast` number, since 8 + 31 + 2 + 1 + 3 + 609 + 0 + 12 = 666.

It is a super-2 number, since 2×8312136090122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831213609011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294493 + ... + 1322555.

Almost surely, 2831213609012 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 831213609012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080733774848).

831213609012 is an abundant number, since it is smaller than the sum of its proper divisors (1330253940684).

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

831213609012 is a wasteful number, since it uses less digits than its factorization.

831213609012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028717 (or 1028712 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 831213609012 in words is "eight hundred thirty-one billion, two hundred thirteen million, six hundred nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 607 666 1214 1332 1821 2428 3642 5463 7284 10926 21852 22459 44918 67377 89836 134754 202131 269508 404262 808524 1028063 2056126 3084189 4112252 6168378 9252567 12336756 18505134 37010268 38038331 76076662 114114993 152153324 228229986 342344979 456459972 624034241 684689958 1248068482 1369379916 1872102723 2496136964 3744205446 5616308169 7488410892 11232616338 22465232676 23089266917 46178533834 69267800751 92357067668 138535601502 207803402253 277071203004 415606804506 831213609012