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27692842016 = 257791564921
BaseRepresentation
bin11001110010100111…
…110011110000100000
32122110221222010121102
4121302213303300200
5423203331421031
620415533413532
72000153162510
oct316247636040
978427863542
1027692842016
11108209840a4
12544a33a2a8
1327c43b4b68
1414a9c75840
15ac12e17cb
hex6729f3c20

27692842016 has 48 divisors (see below), whose sum is σ = 63097655040. Its totient is φ = 11718120960.

The previous prime is 27692842013. The next prime is 27692842027. The reversal of 27692842016 is 61024829672.

It is not an unprimeable number, because it can be changed into a prime (27692842013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764765 + ... + 800156.

It is an arithmetic number, because the mean of its divisors is an integer number (1314534480).

Almost surely, 227692842016 is an apocalyptic number.

It is an amenable number.

27692842016 is an abundant number, since it is smaller than the sum of its proper divisors (35404813024).

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

27692842016 is a wasteful number, since it uses less digits than its factorization.

27692842016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565017 (or 1565009 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 27692842016 in words is "twenty-seven billion, six hundred ninety-two million, eight hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 8848 17696 1564921 3129842 6259684 10954447 12519368 21908894 25038736 43817788 50077472 87635576 123628759 175271152 247257518 350542304 494515036 865401313 989030072 1730802626 1978060144 3461605252 3956120288 6923210504 13846421008 27692842016