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13920085673 = 131789707717
BaseRepresentation
bin11001111011011001…
…11010011010101001
31022221010002121201122
430331230322122221
5212002020220143
610221135425025
71001644530104
oct147554723251
938833077648
1013920085673
1159a358643a
122845985175
13140abab7b0
14960a3373b
155670e9c68
hex33db3a6a9

13920085673 has 16 divisors (see below), whose sum is σ = 16051044240. Its totient is φ = 11957569536.

The previous prime is 13920085667. The next prime is 13920085703. The reversal of 13920085673 is 37658002931.

It can be written as a sum of positive squares in 8 ways, for example, as 171819664 + 13748266009 = 13108^2 + 117253^2 .

It is a cyclic number.

It is not a de Polignac number, because 13920085673 - 216 = 13920020137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13920085633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334190 + ... + 373527.

It is an arithmetic number, because the mean of its divisors is an integer number (1003190265).

Almost surely, 213920085673 is an apocalyptic number.

13920085673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13920085673 is a deficient number, since it is larger than the sum of its proper divisors (2130958567).

13920085673 is a wasteful number, since it uses less digits than its factorization.

13920085673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707836.

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 13920085673 in words is "thirteen billion, nine hundred twenty million, eighty-five thousand, six hundred seventy-three".

Divisors: 1 13 17 89 221 1157 1513 19669 707717 9200321 12031189 62986813 156405457 818828569 1070775821 13920085673