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13205828955 = 351180035327
BaseRepresentation
bin11000100110010000…
…01111010101011011
31021002100002121201010
430103020033111123
5204021143011310
610022222425003
7645152460024
oct142310172533
937070077633
1013205828955
115667389830
122686732163
131325c1a197
148d3c27c4b
1552455d320
hex31320f55b

13205828955 has 16 divisors (see below), whose sum is σ = 23050174464. Its totient is φ = 6402826080.

The previous prime is 13205828927. The next prime is 13205828981. The reversal of 13205828955 is 55982850231.

It is a happy number.

13205828955 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 13205828955 - 213 = 13205820763 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40017499 + ... + 40017828.

It is an arithmetic number, because the mean of its divisors is an integer number (1440635904).

Almost surely, 213205828955 is an apocalyptic number.

13205828955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13205828955 is a deficient number, since it is larger than the sum of its proper divisors (9844345509).

13205828955 is a wasteful number, since it uses less digits than its factorization.

13205828955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80035346.

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 13205828955 in words is "thirteen billion, two hundred five million, eight hundred twenty-eight thousand, nine hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 165 80035327 240105981 400176635 880388597 1200529905 2641165791 4401942985 13205828955