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13773828145 = 5711172791567
BaseRepresentation
bin11001101001111101…
…11111000000110001
31022112220212222010011
430310332333000301
5211202100000040
610154432534521
7665220415240
oct146476770061
938486788104
1013773828145
115928a6aa50
1228049b1441
1313b67c018c
14949440957
155593593ea
hex334fbf031

13773828145 has 96 divisors (see below), whose sum is σ = 22181806080. Its totient is φ = 7973821440.

The previous prime is 13773828143. The next prime is 13773828151. The reversal of 13773828145 is 54182837731.

It is a happy number.

It is not a de Polignac number, because 13773828145 - 21 = 13773828143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13773828143) 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 95 ways as a sum of consecutive naturals, for example, 8789152 + ... + 8790718.

It is an arithmetic number, because the mean of its divisors is an integer number (231060480).

Almost surely, 213773828145 is an apocalyptic number.

It is an amenable number.

13773828145 is a deficient number, since it is larger than the sum of its proper divisors (8407977935).

13773828145 is a wasteful number, since it uses less digits than its factorization.

13773828145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1686 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

The spelling of 13773828145 in words is "thirteen billion, seven hundred seventy-three million, eight hundred twenty-eight thousand, one hundred forty-five".

Divisors: 1 5 7 11 17 35 55 77 79 85 119 187 289 385 395 553 595 869 935 1309 1343 1445 1567 2023 2765 3179 4345 6083 6545 6715 7835 9401 10115 10969 14773 15895 17237 22253 22831 26639 30415 47005 54845 73865 86185 103411 111265 114155 120659 123793 133195 159817 186473 251141 293029 452863 517055 603295 618965 799085 866551 932365 1255705 1361723 1465145 1757987 2051203 2104481 2264315 3170041 4332755 4981493 6808615 8789935 9532061 10256015 10522405 14731367 15850205 23149291 24907465 34870451 35776177 47660305 73656835 115746455 162045037 174352255 178880885 250433239 393537947 810225185 1252166195 1967689735 2754765629 13773828145