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12823835206721 = 711166543314373
BaseRepresentation
bin1011101010011100100000…
…1001000110010001000001
31200101221120010100210121012
42322213020021012101001
53140101203303103341
643135104421410305
72462330406513110
oct272471011062101
950357503323535
1012823835206721
1140a4615726150
121531418569995
13720389787176
14324969723c77
1517389da010eb
hexba9c8246441

12823835206721 has 8 divisors (see below), whose sum is σ = 15988158179904. Its totient is φ = 9992598862320.

The previous prime is 12823835206711. The next prime is 12823835206727. The reversal of 12823835206721 is 12760253832821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12823835206721 - 218 = 12823834944577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12823835206721.

It is not an unprimeable number, because it can be changed into a prime (12823835206727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83271657110 + ... + 83271657263.

It is an arithmetic number, because the mean of its divisors is an integer number (1998519772488).

Almost surely, 212823835206721 is an apocalyptic number.

12823835206721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12823835206721 is a deficient number, since it is larger than the sum of its proper divisors (3164322973183).

12823835206721 is a wasteful number, since it uses less digits than its factorization.

12823835206721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166543314391.

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 12823835206721 in words is "twelve trillion, eight hundred twenty-three billion, eight hundred thirty-five million, two hundred six thousand, seven hundred twenty-one".

Divisors: 1 7 11 77 166543314373 1165803200611 1831976458103 12823835206721