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12816005000 = 235416012
BaseRepresentation
bin10111110111110010…
…01011011110001000
31020002011120111202212
423323321023132020
5202221344130000
65515415244252
7632410150031
oct137371133610
936064514685
1012816005000
115487334277
122598079688
13129322c616
14898151a88
15500209c35
hex2fbe4b788

12816005000 has 60 divisors (see below), whose sum is σ = 30046667145. Its totient is φ = 5123200000.

The previous prime is 12816004997. The next prime is 12816005021. The reversal of 12816005000 is 50061821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 2440952836 + 10375052164 = 49406^2 + 101858^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80050.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8004200 + ... + 8005800.

Almost surely, 212816005000 is an apocalyptic number.

12816005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12816005000

12816005000 is an abundant number, since it is smaller than the sum of its proper divisors (17230662145).

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

12816005000 is an frugal number, since it uses more digits than its factorization.

12816005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 12816005000 its reverse (50061821), we get a palindrome (12866066821).

The spelling of 12816005000 in words is "twelve billion, eight hundred sixteen million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1601 2500 3202 5000 6404 8005 12808 16010 32020 40025 64040 80050 160100 200125 320200 400250 800500 1000625 1601000 2001250 2563201 4002500 5126402 8005000 10252804 12816005 20505608 25632010 51264020 64080025 102528040 128160050 256320100 320400125 512640200 640800250 1281600500 1602000625 2563201000 3204001250 6408002500 12816005000