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13879725105845 = 561317373409941
BaseRepresentation
bin1100100111111010000000…
…0101011010001010110101
31211010212222220111021101002
43021332200011122022311
53304401134111341340
645304131354413045
72631530345541344
oct311764005321265
954125886437332
1013879725105845
1144713a3a84515
121681b97a31185
13798b10b1c221
1435dad4809b5b
1519109bc47715
hexc9fa015a2b5

13879725105845 has 64 divisors (see below), whose sum is σ = 17087417138880. Its totient is φ = 10820050329600.

The previous prime is 13879725105839. The next prime is 13879725105887. The reversal of 13879725105845 is 54850152797831.

It can be written as a sum of positive squares in 32 ways, for example, as 11084331710596 + 2795393395249 = 3329314^2 + 1671943^2 .

It is not a de Polignac number, because 13879725105845 - 210 = 13879725104821 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14749973075 + ... + 14749974015.

It is an arithmetic number, because the mean of its divisors is an integer number (266990892795).

Almost surely, 213879725105845 is an apocalyptic number.

It is an amenable number.

13879725105845 is a deficient number, since it is larger than the sum of its proper divisors (3207692033035).

13879725105845 is a wasteful number, since it uses less digits than its factorization.

13879725105845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106.

The product of its (nonzero) digits is 84672000, while the sum is 65.

The spelling of 13879725105845 in words is "thirteen trillion, eight hundred seventy-nine billion, seven hundred twenty-five million, one hundred five thousand, eight hundred forty-five".

Divisors: 1 5 61 305 317 373 409 941 1585 1865 2045 4705 19337 22753 24949 57401 96685 113765 118241 124745 129653 152557 287005 298297 350993 384869 591205 648265 762785 1491485 1754965 1924345 7212701 7908833 9305977 18196117 21410573 23477009 36063505 39544165 46529885 48360569 90980585 107052865 111264781 117385045 122003473 143556137 241802845 556323905 610017365 717780685 2949994709 6787151641 7442211853 8756924357 14749973545 33935758205 37211059265 43784621785 45507295429 227536477145 2775945021169 13879725105845