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12783352068 = 22332345711261
BaseRepresentation
bin10111110011111001…
…00111100100000100
31012222220010120101000
423321330213210010
5202140014231233
65512251333300
7631532462004
oct137174474404
935886116330
1012783352068
11546a961683
122589151230
131289538c66
14893a92004
154ec409d13
hex2f9f27904

12783352068 has 96 divisors (see below), whose sum is σ = 34661733120. Its totient is φ = 4066571520.

The previous prime is 12783352063. The next prime is 12783352093. The reversal of 12783352068 is 86025338721.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12783352061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129558 + ... + 1140818.

It is an arithmetic number, because the mean of its divisors is an integer number (361059720).

Almost surely, 212783352068 is an apocalyptic number.

12783352068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12783352068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17330866560).

12783352068 is an abundant number, since it is smaller than the sum of its proper divisors (21878381052).

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

12783352068 is a wasteful number, since it uses less digits than its factorization.

12783352068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11754 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12783352068 in words is "twelve billion, seven hundred eighty-three million, three hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 457 621 828 914 1242 1371 1828 2484 2742 4113 5484 8226 10511 11261 12339 16452 21022 22522 24678 31533 33783 42044 45044 49356 63066 67566 94599 101349 126132 135132 189198 202698 259003 283797 304047 378396 405396 518006 567594 608094 777009 1036012 1135188 1216188 1554018 2331027 3108036 4662054 5146277 6993081 9324108 10292554 13986162 15438831 20585108 27972324 30877662 46316493 61755324 92632986 118364371 138949479 185265972 236728742 277898958 355093113 473457484 555797916 710186226 1065279339 1420372452 2130558678 3195838017 4261117356 6391676034 12783352068