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114667131663 = 3273475245283
BaseRepresentation
bin110101011001010110…
…0011001001100001111
3101221222100102211102100
41222302230121030033
53334314241203123
6124402150330143
711166362352210
oct1526254311417
9357870384370
10114667131663
11446a2674217
121a281959953
13aa753c0286
14579ad97407
152eb1beb643
hex1ab2b1930f

114667131663 has 24 divisors (see below), whose sum is σ = 189837318528. Its totient is φ = 65335232592.

The previous prime is 114667131617. The next prime is 114667131673. The reversal of 114667131663 is 366131766411.

114667131663 is a `hidden beast` number, since 11 + 466 + 7 + 13 + 166 + 3 = 666.

It is not a de Polignac number, because 114667131663 - 232 = 110372164367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114667131673) 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 23 ways as a sum of consecutive naturals, for example, 2600781 + ... + 2644502.

It is an arithmetic number, because the mean of its divisors is an integer number (7909888272).

Almost surely, 2114667131663 is an apocalyptic number.

114667131663 is a deficient number, since it is larger than the sum of its proper divisors (75170186865).

114667131663 is a wasteful number, since it uses less digits than its factorization.

114667131663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245643 (or 5245640 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 114667131663 in words is "one hundred fourteen billion, six hundred sixty-seven million, one hundred thirty-one thousand, six hundred sixty-three".

Divisors: 1 3 7 9 21 63 347 1041 2429 3123 7287 21861 5245283 15735849 36716981 47207547 110150943 330452829 1820113201 5460339603 12740792407 16381018809 38222377221 114667131663