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27520243128 = 233476067073
BaseRepresentation
bin11001101000010101…
…011001010110111000
32122000221012012110000
4121220111121112320
5422330140240003
620350450153000
71662656130660
oct315025312670
978027165400
1027520243128
1110742506a94
125400582760
132797702941
141490d871a0
15ab109b1a3
hex6685595b8

27520243128 has 80 divisors (see below), whose sum is σ = 88093914480. Its totient is φ = 7862925312.

The previous prime is 27520243123. The next prime is 27520243133. The reversal of 27520243128 is 82134202572.

27520243128 is a `hidden beast` number, since 2 + 7 + 520 + 2 + 4 + 3 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (27520243123) and next prime (27520243133).

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

It is a junction number, because it is equal to n+sod(n) for n = 27520243092 and 27520243101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27520243123) 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 19 ways as a sum of consecutive naturals, for example, 3029001 + ... + 3038072.

It is an arithmetic number, because the mean of its divisors is an integer number (1101173931).

Almost surely, 227520243128 is an apocalyptic number.

27520243128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27520243128 is an abundant number, since it is smaller than the sum of its proper divisors (60573671352).

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

27520243128 is a wasteful number, since it uses less digits than its factorization.

27520243128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067098 (or 6067085 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 27520243128 in words is "twenty-seven billion, five hundred twenty million, two hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 6067073 12134146 18201219 24268292 36402438 42469511 48536584 54603657 72804876 84939022 109207314 127408533 145609752 163810971 169878044 218414628 254817066 327621942 339756088 382225599 436829256 491432913 509634132 655243884 764451198 982865826 1019268264 1146676797 1310487768 1528902396 1965731652 2293353594 3057804792 3440030391 3931463304 4586707188 6880060782 9173414376 13760121564 27520243128