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81027620874 = 232233369979
BaseRepresentation
bin100101101110110011…
…1110110000000001010
321202010221202121211100
41023131213312000022
52311421032331444
6101120143042230
75565640261554
oct1133547660012
9252127677740
1081027620874
11313aaa85932
1213853ba0376
137843cc30c5
143cc94364d4
152193808e69
hex12dd9f600a

81027620874 has 48 divisors (see below), whose sum is σ = 183539678400. Its totient is φ = 25834823784.

The previous prime is 81027620831. The next prime is 81027620879. The reversal of 81027620874 is 47802672018.

81027620874 is a `hidden beast` number, since 8 + 10 + 2 + 7 + 620 + 8 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (81027620879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34017 + ... + 403995.

It is an arithmetic number, because the mean of its divisors is an integer number (3823743300).

Almost surely, 281027620874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81027620874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91769839200).

81027620874 is an abundant number, since it is smaller than the sum of its proper divisors (102512057526).

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

81027620874 is a wasteful number, since it uses less digits than its factorization.

81027620874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370056 (or 370007 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 81027620874 in words is "eighty-one billion, twenty-seven million, six hundred twenty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 4761 9522 12167 24334 36501 73002 109503 219006 369979 739958 1109937 2219874 3329811 6659622 8509517 17019034 25528551 51057102 76585653 153171306 195718891 391437782 587156673 1174313346 1761470019 3522940038 4501534493 9003068986 13504603479 27009206958 40513810437 81027620874