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2083461296399 = 717197431206203
BaseRepresentation
bin11110010100010111111…
…110000111000100001111
321101011202222222222222222
4132110113332013010033
5233113412042441044
64233043502125555
7303345053550560
oct36242776070417
97334688888888
102083461296399
1173365564a0aa
12297956b808bb
13121614804062
1472ba91d0167
15392e02b08ee
hex1e517f8710f

2083461296399 has 32 divisors (see below), whose sum is σ = 2539852609536. Its totient is φ = 1668355637760.

The previous prime is 2083461296363. The next prime is 2083461296401. The reversal of 2083461296399 is 9936921643802.

It is a Cunningham number, because it is equal to 14434202-1.

It is not a de Polignac number, because 2083461296399 - 28 = 2083461296143 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 (2083461296899) 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, 10000832 + ... + 10207034.

It is an arithmetic number, because the mean of its divisors is an integer number (79370394048).

Almost surely, 22083461296399 is an apocalyptic number.

2083461296399 is a deficient number, since it is larger than the sum of its proper divisors (456391313137).

2083461296399 is a wasteful number, since it uses less digits than its factorization.

2083461296399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206855.

The product of its (nonzero) digits is 30233088, while the sum is 62.

The spelling of 2083461296399 in words is "two trillion, eighty-three billion, four hundred sixty-one million, two hundred ninety-six thousand, three hundred ninety-nine".

Divisors: 1 7 17 119 197 431 1379 3017 3349 7327 23443 51289 84907 206203 594349 1443419 1443421 3505451 10103933 24538157 40621991 88873493 284353937 622114451 690573847 1510849381 4834016929 10575945667 17508078121 122556546847 297637328057 2083461296399