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13458900917 = 7111231141991
BaseRepresentation
bin11001000100011011…
…01000011110110101
31021201222022000011202
430202031220132311
5210030434312132
610103302542245
7654344525120
oct144215503665
937658260152
1013458900917
115787220510
122737437985
131366496bc7
149196a33b7
1553b89c762
hex3223687b5

13458900917 has 16 divisors (see below), whose sum is σ = 16793677824. Its totient is φ = 10478862000.

The previous prime is 13458900881. The next prime is 13458900919. The reversal of 13458900917 is 71900985431.

13458900917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13458900917 - 222 = 13454706613 is a prime.

It is a super-2 number, since 2×134589009172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13458900919) 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 15 ways as a sum of consecutive naturals, for example, 23792 + ... + 165782.

It is an arithmetic number, because the mean of its divisors is an integer number (1049604864).

Almost surely, 213458900917 is an apocalyptic number.

It is an amenable number.

13458900917 is a deficient number, since it is larger than the sum of its proper divisors (3334776907).

13458900917 is a wasteful number, since it uses less digits than its factorization.

13458900917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143240.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 13458900917 in words is "thirteen billion, four hundred fifty-eight million, nine hundred thousand, nine hundred seventeen".

Divisors: 1 7 11 77 1231 8617 13541 94787 141991 993937 1561901 10933307 174790921 1223536447 1922700131 13458900917