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12513187568820 = 2235732856892139
BaseRepresentation
bin1011011000010111010000…
…0110011001110010110100
31122022020201120000201112210
42312011310012121302310
53120004002004200240
642340251244413420
72431022311250361
oct266056406316264
948266646021483
1012513187568820
113a948a4189a04
1214a1181247270
136c9cb0a33303
143138da435468
1516a76b6a6780
hexb6174199cb4

12513187568820 has 48 divisors (see below), whose sum is σ = 35516883084480. Its totient is φ = 3291139742976.

The previous prime is 12513187568789. The next prime is 12513187568851. The reversal of 12513187568820 is 2886578131521.

It is an interprime number because it is at equal distance from previous prime (12513187568789) and next prime (12513187568851).

It is a super-3 number, since 3×125131875688203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428441690 + ... + 1428450449.

It is an arithmetic number, because the mean of its divisors is an integer number (739935064260).

Almost surely, 212513187568820 is an apocalyptic number.

12513187568820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12513187568820 is an abundant number, since it is smaller than the sum of its proper divisors (23003695515660).

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

12513187568820 is a wasteful number, since it uses less digits than its factorization.

12513187568820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856892224 (or 2856892222 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 12513187568820 in words is "twelve trillion, five hundred thirteen billion, one hundred eighty-seven million, five hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 2856892139 5713784278 8570676417 11427568556 14284460695 17141352834 28568921390 34282705668 42853382085 57137842780 85706764170 171413528340 208553126147 417106252294 625659378441 834212504588 1042765630735 1251318756882 2085531261470 2502637513764 3128296892205 4171062522940 6256593784410 12513187568820