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13791323385 = 335749129723
BaseRepresentation
bin11001101100000011…
…01110010011111001
31022121010210211002000
430312001232103321
5211221034322020
610200255531213
7665522212620
oct146601562371
938533724060
1013791323385
11593792a424
12280a829b09
1313ba3074a8
1494b8b66b7
1555ab63090
hex33606e4f9

13791323385 has 64 divisors (see below), whose sum is σ = 28078479360. Its totient is φ = 6291552960.

The previous prime is 13791323383. The next prime is 13791323401. The reversal of 13791323385 is 58332319731.

13791323385 is a `hidden beast` number, since 137 + 9 + 132 + 3 + 385 = 666.

It is not a de Polignac number, because 13791323385 - 21 = 13791323383 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13791323385.

It is not an unprimeable number, because it can be changed into a prime (13791323383) 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, 449134 + ... + 478856.

It is an arithmetic number, because the mean of its divisors is an integer number (438726240).

Almost surely, 213791323385 is an apocalyptic number.

13791323385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13791323385 is an abundant number, since it is smaller than the sum of its proper divisors (14287155975).

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

13791323385 is a wasteful number, since it uses less digits than its factorization.

13791323385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30235 (or 30229 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 13791323385 in words is "thirteen billion, seven hundred ninety-one million, three hundred twenty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 491 945 1473 2455 3437 4419 7365 10311 13257 17185 22095 29723 30933 51555 66285 89169 92799 148615 154665 208061 267507 445845 463995 624183 802521 1040305 1337535 1872549 3120915 4012605 5617647 9362745 14593993 28088235 43781979 72969965 102157951 131345937 218909895 306473853 394037811 510789755 656729685 919421559 1532369265 1970189055 2758264677 4597107795 13791323385