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27874270692 = 2233298899831
BaseRepresentation
bin11001111101011011…
…111001110111100100
32122221121100122222000
4121331123321313210
5424041303130232
620445534205300
72004515251212
oct317533716744
978847318860
1027874270692
1110904332154
12549b053830
132822b690c8
1414c5dc1cb2
15ad21cd27c
hex67d6f9de4

27874270692 has 48 divisors (see below), whose sum is σ = 74758588800. Its totient is φ = 8971028640.

The previous prime is 27874270691. The next prime is 27874270693. The reversal of 27874270692 is 29607247872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27874270691) and next prime (27874270693).

It is a super-2 number, since 2×278742706922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27874270691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4446784 + ... + 4453047.

It is an arithmetic number, because the mean of its divisors is an integer number (1557470600).

Almost surely, 227874270692 is an apocalyptic number.

It is an amenable number.

27874270692 is an abundant number, since it is smaller than the sum of its proper divisors (46884318108).

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

27874270692 is a wasteful number, since it uses less digits than its factorization.

27874270692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899873 (or 8899865 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 27874270692 in words is "twenty-seven billion, eight hundred seventy-four million, two hundred seventy thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 8899831 17799662 26699493 35599324 53398986 80098479 106797972 160196958 240295437 258095099 320393916 480590874 516190198 774285297 961181748 1032380396 1548570594 2322855891 3097141188 4645711782 6968567673 9291423564 13937135346 27874270692