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27220260240 = 2432537805917
BaseRepresentation
bin11001010110011101…
…000011010110010000
32121021000201111021200
4121112131003112100
5421221341311430
620301012351200
71652354252205
oct312635032620
977230644250
1027220260240
11105a9144448
125338015500
13274a50c884
1414631b9cac
15a94a92460
hex656743590

27220260240 has 60 divisors (see below), whose sum is σ = 91414709724. Its totient is φ = 7258735872.

The previous prime is 27220260211. The next prime is 27220260251. The reversal of 27220260240 is 4206202272.

It can be written as a sum of positive squares in 2 ways, for example, as 5533574544 + 21686685696 = 74388^2 + 147264^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18902239 + ... + 18903678.

Almost surely, 227220260240 is an apocalyptic number.

27220260240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27220260240 is an abundant number, since it is smaller than the sum of its proper divisors (64194449484).

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

27220260240 is a wasteful number, since it uses less digits than its factorization.

27220260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37805936 (or 37805927 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 27220260240 in words is "twenty-seven billion, two hundred twenty million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 37805917 75611834 113417751 151223668 189029585 226835502 302447336 340253253 378059170 453671004 567088755 604894672 680506506 756118340 907342008 1134177510 1361013012 1512236680 1701266265 1814684016 2268355020 2722026024 3024473360 3402532530 4536710040 5444052048 6805065060 9073420080 13610130120 27220260240