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13164430271524 = 22722591632
BaseRepresentation
bin1011111110010001010100…
…1100001010010000100100
31201121111200210001210021221
42333210111030022100210
53211141223122142044
643555353351550124
72526045566012200
oct277442514122044
951544623053257
1013164430271524
114216004768484
12158743108b344
13746528a2677c
1433723a093b00
1517c68503c484
hexbf91530a424

13164430271524 has 27 divisors (see below), whose sum is σ = 26799122173467. Its totient is φ = 5641876918104.

The previous prime is 13164430271521. The next prime is 13164430271561. The reversal of 13164430271524 is 42517203446131.

The square root of 13164430271524 is 3628282.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (13164430271521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50666367 + ... + 50925529.

Almost surely, 213164430271524 is an apocalyptic number.

13164430271524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13164430271524 is the 3628282-nd square number.

It is an amenable number.

13164430271524 is an abundant number, since it is smaller than the sum of its proper divisors (13634691901943).

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

13164430271524 is an frugal number, since it uses more digits than its factorization.

13164430271524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518344 (or 259172 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 13164430271524 in words is "thirteen trillion, one hundred sixty-four billion, four hundred thirty million, two hundred seventy-one thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 259163 518326 1036652 1814141 3628282 7256564 12698987 25397974 50795948 67165460569 134330921138 268661842276 470158223983 940316447966 1880632895932 3291107567881 6582215135762 13164430271524