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427364383463724 = 223748299105336989
BaseRepresentation
bin110000100101011111000011…
…0010001000001100100101100
32002001011122011200110110110110
41201022332012101001210230
5422003414224131314344
64112532253140540020
7156006025551401340
oct14112760621014454
92061148150413413
10427364383463724
1111419824310a523
123bb220b73b1610
13154603999091b5
147776791945620
153461add3443b9
hex184af8644192c

427364383463724 has 48 divisors (see below), whose sum is σ = 1139661962208000. Its totient is φ = 122101580314176.

The previous prime is 427364383463669. The next prime is 427364383463737.

427364383463724 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48611379 + ... + 56725610.

It is an arithmetic number, because the mean of its divisors is an integer number (23742957546000).

Almost surely, 2427364383463724 is an apocalyptic number.

It is an amenable number.

427364383463724 is an abundant number, since it is smaller than the sum of its proper divisors (712297578744276).

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

427364383463724 is a wasteful number, since it uses less digits than its factorization.

427364383463724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105385302 (or 105385300 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 66.

The spelling of 427364383463724 in words is "four hundred twenty-seven trillion, three hundred sixty-four billion, three hundred eighty-three million, four hundred sixty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 48299 96598 144897 193196 289794 338093 579588 676186 1014279 1352372 2028558 4057116 105336989 210673978 316010967 421347956 632021934 737358923 1264043868 1474717846 2212076769 2949435692 4424153538 8848307076 5087671231711 10175342463422 15263013695133 20350684926844 30526027390266 35613698621977 61052054780532 71227397243954 106841095865931 142454794487908 213682191731862 427364383463724