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27679240593 = 331091939649
BaseRepresentation
bin11001110001110011…
…111011000110010001
32122110000101002222000
4121301303323012101
5423141341144333
620414330104213
71666626443304
oct316163730621
978400332860
1027679240593
1110814234154
12544587b069
1327c1631c94
1414a8134b3b
15ac0006713
hex671cfb191

27679240593 has 16 divisors (see below), whose sum is σ = 41043912000. Its totient is φ = 18435893760.

The previous prime is 27679240541. The next prime is 27679240597. The reversal of 27679240593 is 39504297672.

27679240593 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 9 + 2 + 40 + 593 = 666.

It is not a de Polignac number, because 27679240593 - 210 = 27679239569 is a prime.

It is a super-2 number, since 2×276792405932 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27679240597) 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, 440368 + ... + 499281.

It is an arithmetic number, because the mean of its divisors is an integer number (2565244500).

Almost surely, 227679240593 is an apocalyptic number.

It is an amenable number.

27679240593 is a deficient number, since it is larger than the sum of its proper divisors (13364671407).

27679240593 is a wasteful number, since it uses less digits than its factorization.

27679240593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940749 (or 940743 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 27679240593 in words is "twenty-seven billion, six hundred seventy-nine million, two hundred forty thousand, five hundred ninety-three".

Divisors: 1 3 9 27 1091 3273 9819 29457 939649 2818947 8456841 25370523 1025157059 3075471177 9226413531 27679240593