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27014537376 = 253293800477
BaseRepresentation
bin11001001010001100…
…010010000010100000
32120201200121200120100
4121022030102002200
5420311210144001
620224343142400
71644305531121
oct311214220240
976650550510
1027014537376
1110503002852
12529b144a00
132716a00778
141443b48048
15a819a7586
hex64a3120a0

27014537376 has 36 divisors (see below), whose sum is σ = 76822591482. Its totient is φ = 9004845696.

The previous prime is 27014537321. The next prime is 27014537387. The reversal of 27014537376 is 67373541072.

27014537376 is a `hidden beast` number, since 2 + 70 + 14 + 537 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15921392400 + 11093144976 = 126180^2 + 105324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46899951 + ... + 46900526.

Almost surely, 227014537376 is an apocalyptic number.

It is an amenable number.

27014537376 is an abundant number, since it is smaller than the sum of its proper divisors (49808054106).

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

27014537376 is a wasteful number, since it uses less digits than its factorization.

27014537376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93800493 (or 93800482 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 27014537376 in words is "twenty-seven billion, fourteen million, five hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 93800477 187600954 281401431 375201908 562802862 750403816 844204293 1125605724 1500807632 1688408586 2251211448 3001615264 3376817172 4502422896 6753634344 9004845792 13507268688 27014537376