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12802830876 = 2232111967109233
BaseRepresentation
bin10111110110001101…
…11011001000011100
31020001020210012021100
423323012323020130
5202210011042001
65514225033100
7632160160353
oct137306731034
936036705240
1012802830876
11547a956370
122593785790
131290599094
148964c299a
154edea6586
hex2fb1bb21c

12802830876 has 288 divisors, whose sum is σ = 38226988800. Its totient is φ = 3571983360.

The previous prime is 12802830871. The next prime is 12802830881. The reversal of 12802830876 is 67803820821.

It is an interprime number because it is at equal distance from previous prime (12802830871) and next prime (12802830881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12802830871) 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 95 ways as a sum of consecutive naturals, for example, 54947656 + ... + 54947888.

It is an arithmetic number, because the mean of its divisors is an integer number (132732600).

Almost surely, 212802830876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12802830876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113494400).

12802830876 is an abundant number, since it is smaller than the sum of its proper divisors (25424157924).

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

12802830876 is a wasteful number, since it uses less digits than its factorization.

12802830876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12802830876 in words is "twelve billion, eight hundred two million, eight hundred thirty thousand, eight hundred seventy-six".