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27144072324 = 2234531580717
BaseRepresentation
bin11001010001111010…
…011010110010000100
32121001201100202010000
4121101322122302010
5421042340303244
620245251401300
71650440544045
oct312172326204
977051322100
1027144072324
111056a137326
1253165b3230
1327377b5675
1414570268cc
15a8d043169
hex651e9ac84

27144072324 has 60 divisors (see below), whose sum is σ = 72298879884. Its totient is φ = 8877301056.

The previous prime is 27144072301. The next prime is 27144072337. The reversal of 27144072324 is 42327044172.

27144072324 is a `hidden beast` number, since 2 + 7 + 14 + 407 + 232 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16240953600 + 10903118724 = 127440^2 + 104418^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 773187 + ... + 807530.

Almost surely, 227144072324 is an apocalyptic number.

It is an amenable number.

27144072324 is an abundant number, since it is smaller than the sum of its proper divisors (45154807560).

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

27144072324 is a wasteful number, since it uses less digits than its factorization.

27144072324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580786 (or 1580775 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 27144072324 in words is "twenty-seven billion, one hundred forty-four million, seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 17172 1580717 3161434 4742151 6322868 9484302 14226453 18968604 28452906 42679359 56905812 83778001 85358718 128038077 167556002 170717436 251334003 256076154 335112004 502668006 512152308 754002009 1005336012 1508004018 2262006027 3016008036 4524012054 6786018081 9048024108 13572036162 27144072324