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27284051114441 = 1131462371730473
BaseRepresentation
bin1100011010000100100000…
…01011001011100111001001
310120121022220102201011210222
412031002100023023213021
512034010214041130231
6134010041532515425
75514131135643032
oct615022013134711
9116538812634728
1027284051114441
11876a112618920
1230879b961bb75
13122bb4b440474
146a47ab36ba89
15324ac299827b
hex18d0902cb9c9

27284051114441 has 16 divisors (see below), whose sum is σ = 30725244215808. Its totient is φ = 24003031017600.

The previous prime is 27284051114431. The next prime is 27284051114491. The reversal of 27284051114441 is 14441115048272.

It is a cyclic number.

It is not a de Polignac number, because 27284051114441 - 218 = 27284050852297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27284051114392 and 27284051114401.

It is not an unprimeable number, because it can be changed into a prime (27284051114401) 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, 14901581 + ... + 16632053.

It is an arithmetic number, because the mean of its divisors is an integer number (1920327763488).

Almost surely, 227284051114441 is an apocalyptic number.

It is an amenable number.

27284051114441 is a deficient number, since it is larger than the sum of its proper divisors (3441193101367).

27284051114441 is a wasteful number, since it uses less digits than its factorization.

27284051114441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776752.

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 27284051114441 in words is "twenty-seven trillion, two hundred eighty-four billion, fifty-one million, one hundred fourteen thousand, four hundred forty-one".

Divisors: 1 11 31 341 46237 508607 1433347 1730473 15766817 19035203 53644663 590091293 80011880101 880130681111 2480368283131 27284051114441