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13172474370105 = 335733114297841
BaseRepresentation
bin1011111110101111010010…
…1001111101100000111001
31201122021110101110100002000
42333223310221331200321
53211304211414320410
644003203504531213
72526452123510511
oct277536451754071
951567411410060
1013172474370105
114219462415836
121588ab7020b09
1374720b439b0b
143377a055a841
1517c9a6348dc0
hexbfaf4a7d839

13172474370105 has 64 divisors (see below), whose sum is σ = 23814858263040. Its totient is φ = 6906800793600.

The previous prime is 13172474370101. The next prime is 13172474370113. The reversal of 13172474370105 is 50107347427131.

13172474370105 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 2 + 474 + 3 + 70 + 105 = 666.

It is not a de Polignac number, because 13172474370105 - 22 = 13172474370101 is a prime.

It is a super-2 number, since 2×131724743701052 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13172474370101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 915985 + ... + 5213825.

It is an arithmetic number, because the mean of its divisors is an integer number (372107160360).

Almost surely, 213172474370105 is an apocalyptic number.

13172474370105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13172474370105 is a deficient number, since it is larger than the sum of its proper divisors (10642383892935).

13172474370105 is a wasteful number, since it uses less digits than its factorization.

13172474370105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298239 (or 4298233 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 13172474370105 in words is "thirteen trillion, one hundred seventy-two billion, four hundred seventy-four million, three hundred seventy thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 73 135 219 311 365 657 933 1095 1555 1971 2799 3285 4665 8397 9855 13995 22703 41985 68109 113515 204327 340545 612981 1021635 3064905 4297841 12893523 21489205 38680569 64467615 116041707 193402845 313742393 580208535 941227179 1336628551 1568711965 2823681537 4009885653 4706135895 6683142755 8471044611 12029656959 14118407685 20049428265 36088970877 42355223055 60148284795 97573884223 180444854385 292721652669 487869421115 878164958007 1463608263345 2634494874021 4390824790035 13172474370105