Search a number
-
+
12008646012 = 22311233955417
BaseRepresentation
bin10110010111100010…
…10110010101111100
31010222220101102110010
423023301112111330
5144043203133022
65303334543220
7603404543526
oct131361262574
933886342403
1012008646012
115102627540
1223b1807b10
131194ba0ccc
1481cc2ca16
154a43cc50c
hex2cbc5657c

12008646012 has 48 divisors (see below), whose sum is σ = 31896490752. Its totient is φ = 3480766080.

The previous prime is 12008645969. The next prime is 12008646061. The reversal of 12008646012 is 21064680021.

It is a super-3 number, since 3×120086460123 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974673 + ... + 1980744.

It is an arithmetic number, because the mean of its divisors is an integer number (664510224).

Almost surely, 212008646012 is an apocalyptic number.

12008646012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12008646012 is an abundant number, since it is smaller than the sum of its proper divisors (19887844740).

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

12008646012 is a wasteful number, since it uses less digits than its factorization.

12008646012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955458 (or 3955456 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12008646012 in words is "twelve billion, eight million, six hundred forty-six thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3955417 7910834 11866251 15821668 23732502 43509587 47465004 87019174 90974591 130528761 174038348 181949182 261057522 272923773 363898364 522115044 545847546 1000720501 1091695092 2001441002 3002161503 4002882004 6004323006 12008646012