Search a number
-
+
12979512030 = 23523145912893
BaseRepresentation
bin11000001011010001…
…11010001011011110
31020111120020112020210
430011220322023132
5203040223341110
65543535553250
7636434013642
oct140550721336
936446215223
1012979512030
115560661551
12262298b826
1312bb07a444
148b1b54c22
1550e756520
hex305a3a2de

12979512030 has 64 divisors (see below), whose sum is σ = 32530014720. Its totient is φ = 3308190336.

The previous prime is 12979512017. The next prime is 12979512037. The reversal of 12979512030 is 3021597921.

12979512030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12979512030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12979512037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000264 + ... + 1013156.

It is an arithmetic number, because the mean of its divisors is an integer number (508281480).

Almost surely, 212979512030 is an apocalyptic number.

12979512030 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 12979512030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265007360).

12979512030 is an abundant number, since it is smaller than the sum of its proper divisors (19550502690).

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

12979512030 is a wasteful number, since it uses less digits than its factorization.

12979512030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14385.

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 12979512030 in words is "twelve billion, nine hundred seventy-nine million, five hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1459 2918 4377 7295 8754 12893 14590 21885 25786 33557 38679 43770 64465 67114 77358 100671 128930 167785 193395 201342 296539 335570 386790 503355 593078 889617 1006710 1482695 1779234 2965390 4448085 8896170 18810887 37621774 56432661 94054435 112865322 188108870 282163305 432650401 564326610 865300802 1297951203 2163252005 2595902406 4326504010 6489756015 12979512030