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12879603150 = 2352194679677
BaseRepresentation
bin10111111111010111…
…10010010111001110
31020020121020122000220
423333223302113032
5202334134300100
65530010332210
7634111551261
oct137753622716
936217218026
1012879603150
11550a222527
1225b542a066
1312a346926b
148a2788cd8
15505abdaa0
hex2ffaf25ce

12879603150 has 96 divisors (see below), whose sum is σ = 33698021760. Its totient is φ = 3246491520.

The previous prime is 12879603133. The next prime is 12879603229. The reversal of 12879603150 is 5130697821.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326112 + ... + 1335788.

It is an arithmetic number, because the mean of its divisors is an integer number (351021060).

Almost surely, 212879603150 is an apocalyptic number.

12879603150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12879603150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849010880).

12879603150 is an abundant number, since it is smaller than the sum of its proper divisors (20818418610).

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

12879603150 is a wasteful number, since it uses less digits than its factorization.

12879603150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 12879603150 in words is "twelve billion, eight hundred seventy-nine million, six hundred three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 467 475 570 934 950 1401 1425 2335 2802 2850 4670 7005 8873 9677 11675 14010 17746 19354 23350 26619 29031 35025 44365 48385 53238 58062 70050 88730 96770 133095 145155 183863 221825 241925 266190 290310 367726 443650 483850 551589 665475 725775 919315 1103178 1330950 1451550 1838630 2757945 4519159 4596575 5515890 9038318 9193150 13557477 13789725 22595795 27114954 27579450 45191590 67787385 85864021 112978975 135574770 171728042 225957950 257592063 338936925 429320105 515184126 677873850 858640210 1287960315 2146600525 2575920630 4293201050 6439801575 12879603150