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27960966121 = 1117201174353
BaseRepresentation
bin11010000010100110…
…100111101111101001
32200011122111020201211
4122002212213233221
5424231001403441
620502312313121
72006620201444
oct320246475751
980148436654
1027960966121
1110949266770
1255040a27a1
132837b01b8a
1414d370c65b
15ad9b05a81
hex6829a7be9

27960966121 has 16 divisors (see below), whose sum is σ = 32313653568. Its totient is φ = 23911603200.

The previous prime is 27960966113. The next prime is 27960966139. The reversal of 27960966121 is 12166906972.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 27960966121 - 23 = 27960966113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27960966191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338881 + ... + 413233.

It is an arithmetic number, because the mean of its divisors is an integer number (2019603348).

Almost surely, 227960966121 is an apocalyptic number.

It is an amenable number.

27960966121 is a deficient number, since it is larger than the sum of its proper divisors (4352687447).

27960966121 is a wasteful number, since it uses less digits than its factorization.

27960966121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76392.

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 27960966121 in words is "twenty-seven billion, nine hundred sixty million, nine hundred sixty-six thousand, one hundred twenty-one".

Divisors: 1 11 17 187 2011 22121 34187 74353 376057 817883 1264001 13904011 149523883 1644762713 2541906011 27960966121