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27241240032 = 253331529213
BaseRepresentation
bin11001010111101101…
…000101010111100000
32121022111012101011000
4121113231011113200
5421242224140112
620303042152000
71653030501606
oct312755052740
977274171130
1027241240032
1110609a73916
125343052600
132751976c56
141465cbb876
15a968387dc
hex657b455e0

27241240032 has 48 divisors (see below), whose sum is σ = 79453619280. Its totient is φ = 9080413056.

The previous prime is 27241239989. The next prime is 27241240093. The reversal of 27241240032 is 23004214272.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×272412400322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27241239978 and 27241240005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15763743 + ... + 15765470.

It is an arithmetic number, because the mean of its divisors is an integer number (1655283735).

Almost surely, 227241240032 is an apocalyptic number.

It is an amenable number.

27241240032 is an abundant number, since it is smaller than the sum of its proper divisors (52212379248).

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

27241240032 is a wasteful number, since it uses less digits than its factorization.

27241240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31529232 (or 31529218 counting only the distinct ones).

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

The spelling of 27241240032 in words is "twenty-seven billion, two hundred forty-one million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 31529213 63058426 94587639 126116852 189175278 252233704 283762917 378350556 504467408 567525834 756701112 851288751 1008934816 1135051668 1513402224 1702577502 2270103336 3026804448 3405155004 4540206672 6810310008 9080413344 13620620016 27241240032