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12820864752 = 243289033783
BaseRepresentation
bin10111111000010111…
…01101111011110000
31020002111201102002200
423330023231323300
5202224120133002
65520111343200
7632466360303
oct137413557360
936074642080
1012820864752
11548a0534a3
122599821b00
131294241607
14898a58b3a
15500869b1c
hex2fc2edef0

12820864752 has 30 divisors (see below), whose sum is σ = 35880614952. Its totient is φ = 4273621536.

The previous prime is 12820864729. The next prime is 12820864753. The reversal of 12820864752 is 25746802821.

It is a junction number, because it is equal to n+sod(n) for n = 12820864698 and 12820864707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820864753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44516748 + ... + 44517035.

Almost surely, 212820864752 is an apocalyptic number.

12820864752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12820864752 is an abundant number, since it is smaller than the sum of its proper divisors (23059750200).

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

12820864752 is a wasteful number, since it uses less digits than its factorization.

12820864752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89033797 (or 89033788 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12820864752 in words is "twelve billion, eight hundred twenty million, eight hundred sixty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 89033783 178067566 267101349 356135132 534202698 712270264 801304047 1068405396 1424540528 1602608094 2136810792 3205216188 4273621584 6410432376 12820864752