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12820512820 = 225747785733
BaseRepresentation
bin10111111000010100…
…11000000000110100
31020002111001112100011
423330022120000310
5202224022402240
65520100030004
7632463363253
oct137412300064
936074045304
1012820512820
115489933045
122599692304
13129414a37b
148989a679a
155007ea6ea
hex2fc298034

12820512820 has 24 divisors (see below), whose sum is σ = 26926991784. Its totient is φ = 5127459456.

The previous prime is 12820512797. The next prime is 12820512851. The reversal of 12820512820 is 2821502821.

It can be written as a sum of positive squares in 4 ways, for example, as 6641924004 + 6178588816 = 81498^2 + 78604^2 .

12820512820 is a modest number, since divided by 512820 gives 12820 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106674 + ... + 192406.

It is an arithmetic number, because the mean of its divisors is an integer number (1121957991).

Almost surely, 212820512820 is an apocalyptic number.

12820512820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12820512820 is an abundant number, since it is smaller than the sum of its proper divisors (14106478964).

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

12820512820 is a wasteful number, since it uses less digits than its factorization.

12820512820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93219 (or 93217 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

Subtracting from 12820512820 its reverse (2821502821), we obtain a palindrome (9999009999).

The spelling of 12820512820 in words is "twelve billion, eight hundred twenty million, five hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 7477 14954 29908 37385 74770 85733 149540 171466 342932 428665 857330 1714660 641025641 1282051282 2564102564 3205128205 6410256410 12820512820