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13321717627 = 191635417951
BaseRepresentation
bin11000110100000100…
…10100011101111011
31021101102011101002011
430122002110131323
5204240324431002
610041522350351
7651060505621
oct143202243573
937342141064
1013321717627
115716842699
1226b94bb3b7
131343c3496a
14905393511
1552e8008d7
hex31a09477b

13321717627 has 16 divisors (see below), whose sum is σ = 14136747520. Its totient is φ = 12518388000.

The previous prime is 13321717583. The next prime is 13321717679. The reversal of 13321717627 is 72671712331.

13321717627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13321717627 is a prime.

It is a super-2 number, since 2×133217176272 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13321717627.

It is not an unprimeable number, because it can be changed into a prime (13321777627) 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 15 ways as a sum of consecutive naturals, for example, 1671502 + ... + 1679452.

It is an arithmetic number, because the mean of its divisors is an integer number (883546720).

Almost surely, 213321717627 is an apocalyptic number.

13321717627 is a deficient number, since it is larger than the sum of its proper divisors (815029893).

13321717627 is a wasteful number, since it uses less digits than its factorization.

13321717627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674.

The product of its digits is 74088, while the sum is 40.

The spelling of 13321717627 in words is "thirteen billion, three hundred twenty-one million, seven hundred seventeen thousand, six hundred twenty-seven".

Divisors: 1 19 163 541 3097 7951 10279 88183 151069 1296013 1675477 4301491 24624247 81728329 701143033 13321717627