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27406557305 = 537148143553
BaseRepresentation
bin11001100001100011…
…101110000001111001
32121202000021100210222
4121201203232001321
5422112034313210
620331305345425
71660105615301
oct314143560171
977660240728
1027406557305
1110694318166
12538a498275
132779ca9a1a
14147dc32601
15aa60e1655
hex6618ee079

27406557305 has 8 divisors (see below), whose sum is σ = 33776730312. Its totient is φ = 21332671488.

The previous prime is 27406557301. The next prime is 27406557319. The reversal of 27406557305 is 50375560472.

It can be written as a sum of positive squares in 4 ways, for example, as 13783699216 + 13622858089 = 117404^2 + 116717^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27406557305 - 22 = 27406557301 is a prime.

It is a super-2 number, since 2×274065573052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27406557301) 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, 74071592 + ... + 74071961.

It is an arithmetic number, because the mean of its divisors is an integer number (4222091289).

Almost surely, 227406557305 is an apocalyptic number.

It is an amenable number.

27406557305 is a deficient number, since it is larger than the sum of its proper divisors (6370173007).

27406557305 is a wasteful number, since it uses less digits than its factorization.

27406557305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148143595.

The product of its (nonzero) digits is 882000, while the sum is 44.

The spelling of 27406557305 in words is "twenty-seven billion, four hundred six million, five hundred fifty-seven thousand, three hundred five".

Divisors: 1 5 37 185 148143553 740717765 5481311461 27406557305