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27930335862 = 231121311032683
BaseRepresentation
bin11010000000110001…
…110001101001110110
32200002111212001220210
4122000301301221312
5424200131221422
620455300010250
72006065636422
oct320061615166
980074761823
1027930335862
1110932a45800
1254b5990986
132831669070
1414cd617b82
15ad70a510c
hex680c71a76

27930335862 has 96 divisors (see below), whose sum is σ = 66208310784. Its totient is φ = 7802688960.

The previous prime is 27930335837. The next prime is 27930335903. The reversal of 27930335862 is 26853303972.

It is a super-2 number, since 2×279303358622 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10408773 + ... + 10411455.

It is an arithmetic number, because the mean of its divisors is an integer number (689669904).

Almost surely, 227930335862 is an apocalyptic number.

27930335862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27930335862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33104155392).

27930335862 is an abundant number, since it is smaller than the sum of its proper divisors (38277974922).

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

27930335862 is a wasteful number, since it uses less digits than its factorization.

27930335862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 27930335862 in words is "twenty-seven billion, nine hundred thirty million, three hundred thirty-five thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1103 1573 2206 2683 3146 3309 4719 5366 6618 8049 9438 12133 14339 16098 24266 28678 29513 34879 36399 43017 59026 69758 72798 86034 88539 104637 133463 157729 177078 209274 266926 315458 324643 383669 400389 473187 649286 767338 800778 946374 973929 1151007 1735019 1947858 2302014 2959349 3470038 4220359 5205057 5918698 8440718 8878047 10410114 12661077 17756094 25322154 32552839 38471537 65105678 76943074 97658517 115414611 195317034 230829222 358081229 423186907 716162458 846373814 1074243687 1269560721 2148487374 2539121442 4655055977 9310111954 13965167931 27930335862