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13166962934096 = 242928377075289
BaseRepresentation
bin1011111110011010110000…
…1001100000000101010000
31201121202020021201101012102
42333212230021200011100
53211211420002342341
644000452543415532
72526165421206116
oct277465411400520
951552207641172
1013166962934096
114217094350344
121587a192b45a8
13746840650a8a
143373da5a7ab6
1517c78256ac9b
hexbf9ac260150

13166962934096 has 20 divisors (see below), whose sum is σ = 26390680019700. Its totient is φ = 6356464864512.

The previous prime is 13166962934093. The next prime is 13166962934207. The reversal of 13166962934096 is 69043926966131.

It can be written as a sum of positive squares in 2 ways, for example, as 4142706612496 + 9024256321600 = 2035364^2 + 3004040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13166962934093) 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 3 ways as a sum of consecutive naturals, for example, 14188537181 + ... + 14188538108.

It is an arithmetic number, because the mean of its divisors is an integer number (1319534000985).

Almost surely, 213166962934096 is an apocalyptic number.

13166962934096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13166962934096 is an abundant number, since it is smaller than the sum of its proper divisors (13223717085604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13166962934096 is a wasteful number, since it uses less digits than its factorization.

13166962934096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28377075326 (or 28377075320 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 65.

Adding to 13166962934096 its sum of digits (65), we get a square (13166962934161 = 36286312).

The spelling of 13166962934096 in words is "thirteen trillion, one hundred sixty-six billion, nine hundred sixty-two million, nine hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 28377075289 56754150578 113508301156 227016602312 454033204624 822935183381 1645870366762 3291740733524 6583481467048 13166962934096