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13826283993 = 3224118713407
BaseRepresentation
bin11001110000001110…
…00101100111011001
31022200120121000000100
430320013011213121
5211304012041433
610203545130013
7666425321604
oct147007054731
938616530010
1013826283993
115955638895
12281a489909
1313c4628342
149523b733b
1555dc6bb13
hex3381c59d9

13826283993 has 24 divisors (see below), whose sum is σ = 20070775296. Its totient is φ = 9171676800.

The previous prime is 13826283979. The next prime is 13826284019. The reversal of 13826283993 is 39938262831.

It is a happy number.

13826283993 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 628 + 3 + 9 + 9 + 3 = 666.

13826283993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13826283993 - 210 = 13826282969 is a prime.

It is a super-2 number, since 2×138262839932 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13826283943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4056496 + ... + 4059902.

It is an arithmetic number, because the mean of its divisors is an integer number (836282304).

Almost surely, 213826283993 is an apocalyptic number.

It is an amenable number.

13826283993 is a deficient number, since it is larger than the sum of its proper divisors (6244491303).

13826283993 is a wasteful number, since it uses less digits than its factorization.

13826283993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5522 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 13826283993 in words is "thirteen billion, eight hundred twenty-six million, two hundred eighty-three thousand, nine hundred ninety-three".

Divisors: 1 3 9 241 723 1871 2169 3407 5613 10221 16839 30663 450911 821087 1352733 2463261 4058199 6374497 7389783 19123491 57370473 1536253777 4608761331 13826283993