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12728596050 = 2325258748187
BaseRepresentation
bin10111101101010111…
…01111011001010010
31012212002002200020100
423312223233121102
5202032010033200
65503013553230
7630266165322
oct136653573122
935762080210
1012728596050
115441a62675
122572945816
13127b0a6b51
1488a6bb282
154e76e0d00
hex2f6aef652

12728596050 has 72 divisors (see below), whose sum is σ = 34256463696. Its totient is φ = 3388439520.

The previous prime is 12728596021. The next prime is 12728596061. The reversal of 12728596050 is 5069582721.

12728596050 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 596 + 0 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12728595987 and 12728596005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240057 + ... + 288243.

It is an arithmetic number, because the mean of its divisors is an integer number (475784218).

Almost surely, 212728596050 is an apocalyptic number.

12728596050 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 12728596050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128231848).

12728596050 is an abundant number, since it is smaller than the sum of its proper divisors (21527867646).

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

12728596050 is a wasteful number, since it uses less digits than its factorization.

12728596050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48792 (or 48784 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12728596050 in words is "twelve billion, seven hundred twenty-eight million, five hundred ninety-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 587 1174 1761 2935 3522 5283 5870 8805 10566 14675 17610 26415 29350 44025 48187 52830 88050 96374 132075 144561 240935 264150 289122 433683 481870 722805 867366 1204675 1445610 2168415 2409350 3614025 4336830 7228050 10842075 21684150 28285769 56571538 84857307 141428845 169714614 254571921 282857690 424286535 509143842 707144225 848573070 1272859605 1414288450 2121432675 2545719210 4242865350 6364298025 12728596050