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13834791384 = 2332087327617
BaseRepresentation
bin11001110001001111…
…00010100111011000
31022201011121012221220
430320213202213120
5211313201311014
610204451332040
7666560533521
oct147047424730
938634535856
1013834791384
11595a419597
1228212b1020
1313c63166bb
1495358d848
1555e89c6a9
hex3389e29d8

13834791384 has 32 divisors (see below), whose sum is σ = 34589887920. Its totient is φ = 4611209216.

The previous prime is 13834791337. The next prime is 13834791409. The reversal of 13834791384 is 48319743831.

It is a happy number.

13834791384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×138347913843 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 487144 + ... + 514760.

Almost surely, 213834791384 is an apocalyptic number.

It is an amenable number.

13834791384 is an abundant number, since it is smaller than the sum of its proper divisors (20755096536).

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

13834791384 is a wasteful number, since it uses less digits than its factorization.

13834791384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48499 (or 48495 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 13834791384 in words is "thirteen billion, eight hundred thirty-four million, seven hundred ninety-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 20873 27617 41746 55234 62619 82851 83492 110468 125238 165702 166984 220936 250476 331404 500952 662808 576449641 1152899282 1729348923 2305798564 3458697846 4611597128 6917395692 13834791384