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27241335744 = 263720268851
BaseRepresentation
bin11001010111101101…
…011100101111000000
32121022111101020102220
4121113231130233000
5421242240220434
620303044211040
71653031350630
oct312755345700
977274336386
1027241335744
111060a029817
125343099a80
1327519ab69c
141465d046c0
15a96856d49
hex657b5cbc0

27241335744 has 56 divisors (see below), whose sum is σ = 82372614528. Its totient is φ = 7783238400.

The previous prime is 27241335727. The next prime is 27241335763. The reversal of 27241335744 is 44753314272.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27241335696 and 27241335705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10133082 + ... + 10135769.

Almost surely, 227241335744 is an apocalyptic number.

27241335744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27241335744 is an abundant number, since it is smaller than the sum of its proper divisors (55131278784).

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

27241335744 is a wasteful number, since it uses less digits than its factorization.

27241335744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268873 (or 20268863 counting only the distinct ones).

The product of its digits is 564480, while the sum is 42.

The spelling of 27241335744 in words is "twenty-seven billion, two hundred forty-one million, three hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 20268851 40537702 60806553 81075404 121613106 141881957 162150808 243226212 283763914 324301616 425645871 486452424 567527828 648603232 851291742 972904848 1135055656 1297206464 1702583484 1945809696 2270111312 3405166968 3891619392 4540222624 6810333936 9080445248 13620667872 27241335744