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13829171473 = 132711152527
BaseRepresentation
bin11001110000100100…
…00110100100010001
31022200210000200220001
430320102012210101
5211310231441343
610204131050001
7666462006115
oct147022064421
938623020801
1013829171473
115957230237
12281b440901
1313c50c9700
14952929745
1555e13c44d
hex338486911

13829171473 has 12 divisors (see below), whose sum is σ = 15185708928. Its totient is φ = 12585583920.

The previous prime is 13829171443. The next prime is 13829171491. The reversal of 13829171473 is 37417192831.

It is not a de Polignac number, because 13829171473 - 225 = 13795617041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13829171423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564265 + ... + 588262.

It is an arithmetic number, because the mean of its divisors is an integer number (1265475744).

Almost surely, 213829171473 is an apocalyptic number.

13829171473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13829171473 is a deficient number, since it is larger than the sum of its proper divisors (1356537455).

13829171473 is a wasteful number, since it uses less digits than its factorization.

13829171473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152624 (or 1152611 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

It can be divided in two parts, 138291 and 71473, that added together give a square (209764 = 4582).

The spelling of 13829171473 in words is "thirteen billion, eight hundred twenty-nine million, one hundred seventy-one thousand, four hundred seventy-three".

Divisors: 1 13 71 169 923 11999 1152527 14982851 81829417 194777063 1063782421 13829171473