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12515151630 = 2351731378401
BaseRepresentation
bin10111010011111011…
…00000111100001110
31012022012110120112110
423221331200330032
5201112334323010
65425511044450
7622065014352
oct135175407416
935265416473
1012515151630
115342527723
122513370726
131245ac3287
1486a1d9462
154d3acd120
hex2e9f60f0e

12515151630 has 64 divisors (see below), whose sum is σ = 31905223488. Its totient is φ = 3130982400.

The previous prime is 12515151619. The next prime is 12515151631. The reversal of 12515151630 is 3615151521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12515151631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120430 + ... + 198830.

It is an arithmetic number, because the mean of its divisors is an integer number (498519117).

Almost surely, 212515151630 is an apocalyptic number.

12515151630 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 12515151630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952611744).

12515151630 is an abundant number, since it is smaller than the sum of its proper divisors (19390071858).

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

12515151630 is a wasteful number, since it uses less digits than its factorization.

12515151630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78741.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 12515151630 in words is "twelve billion, five hundred fifteen million, one hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 313 510 626 939 1565 1878 3130 4695 5321 9390 10642 15963 26605 31926 53210 78401 79815 156802 159630 235203 392005 470406 784010 1176015 1332817 2352030 2665634 3998451 6664085 7996902 13328170 19992255 24539513 39984510 49079026 73618539 122697565 147237078 245395130 368092695 417171721 736185390 834343442 1251515163 2085858605 2503030326 4171717210 6257575815 12515151630