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13172413701924 = 2232191231672
BaseRepresentation
bin1011111110101111000100…
…0010100001111100100100
31201122021022011022001222100
42333223301002201330210
53211304100401430144
644003153500332100
72526450456031401
oct277536102417444
951567264261870
1013172413701924
114219431148944
121588a9a844030
137471cb9b7999
143377964872a8
1517c9a0d63269
hexbfaf10a1f24

13172413701924 has 81 divisors (see below), whose sum is σ = 33482749241851. Its totient is φ = 4366436896560.

The previous prime is 13172413701913. The next prime is 13172413702043. The reversal of 13172413701924 is 42910731427131.

The square root of 13172413701924 is 3629382.

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

13172413701924 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 241 + 370 + 19 + 24 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13172413701924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4159270189 + ... + 4159273355.

Almost surely, 213172413701924 is an apocalyptic number.

13172413701924 is the 3629382-nd square number.

It is an amenable number.

13172413701924 is an abundant number, since it is smaller than the sum of its proper divisors (20310335539927).

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

13172413701924 is an frugal number, since it uses more digits than its factorization.

13172413701924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13172413701924 in words is "thirteen trillion, one hundred seventy-two billion, four hundred thirteen million, seven hundred one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3167 3438 6334 6876 9501 12668 19002 28503 36481 38004 57006 72962 109443 114012 145924 218886 328329 437772 604897 656658 1209794 1313316 1814691 2419588 3629382 5444073 7258764 10029889 10888146 20059778 21776292 30089667 40119556 60179334 90269001 115535327 120358668 180538002 231070654 346605981 361076004 462141308 693211962 1039817943 1386423924 1915708799 2079635886 3831417598 4159271772 5747126397 7662835196 11494252794 17241379191 22988505588 34482758382 68965516764 365900380609 731800761218 1097701141827 1463601522436 2195402283654 3293103425481 4390804567308 6586206850962 13172413701924