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12780813000 = 233534260271
BaseRepresentation
bin10111110011100101…
…11011101011001000
31012222201100120102110
423321302323223020
5202133342004000
65512121102320
7631502055324
oct137162735310
935881316373
1012780813000
115469487a7a
1225883279a0
131288b5a357
148935d0984
154ec0a7850
hex2f9cbbac8

12780813000 has 64 divisors (see below), whose sum is σ = 39876145920. Its totient is φ = 3408216000.

The previous prime is 12780812999. The next prime is 12780813037. The reversal of 12780813000 is 31808721.

It is a happy number.

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

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, 2127136 + ... + 2133135.

It is an arithmetic number, because the mean of its divisors is an integer number (623064780).

Almost surely, 212780813000 is an apocalyptic number.

12780813000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12780813000 is an abundant number, since it is smaller than the sum of its proper divisors (27095332920).

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

12780813000 is a wasteful number, since it uses less digits than its factorization.

12780813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260295 (or 4260281 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 12780813000 in words is "twelve billion, seven hundred eighty million, eight hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4260271 8520542 12780813 17041084 21301355 25561626 34082168 42602710 51123252 63904065 85205420 102246504 106506775 127808130 170410840 213013550 255616260 319520325 426027100 511232520 532533875 639040650 852054200 1065067750 1278081300 1597601625 2130135500 2556162600 3195203250 4260271000 6390406500 12780813000