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816296820613 = 437910910932017
BaseRepresentation
bin10111110000011110001…
…01001111111110000101
32220001000010111000010021
423320033011033332011
5101333233441224423
61423000201455141
7112655411330401
oct13701705177605
92801003430107
10816296820613
1129520a30228a
121122541a14b1
135bc903894b1
142b71a8c0101
1516378db995d
hexbe0f14ff85

816296820613 has 32 divisors (see below), whose sum is σ = 854818342400. Its totient is φ = 778898405376.

The previous prime is 816296820601. The next prime is 816296820671. The reversal of 816296820613 is 316028692618.

It is a 8-Lehmer number, since φ(816296820613) divides (816296820613-1)8.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-816296820613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816296820683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404707381 + ... + 404709397.

It is an arithmetic number, because the mean of its divisors is an integer number (26713073200).

Almost surely, 2816296820613 is an apocalyptic number.

816296820613 is the 482937-th centered heptagonal number.

It is an amenable number.

816296820613 is a deficient number, since it is larger than the sum of its proper divisors (38521521787).

816296820613 is a wasteful number, since it uses less digits than its factorization.

816296820613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341.

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 816296820613 in words is "eight hundred sixteen billion, two hundred ninety-six million, eight hundred twenty thousand, six hundred thirteen".

Divisors: 1 43 79 109 1093 2017 3397 4687 8611 46999 86347 86731 119137 159343 219853 370273 2204581 3712921 5122891 6851749 9411823 9453679 17368387 94796983 174161899 240299329 404708389 746840641 7488961657 10332871147 18983646991 816296820613