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427046735145 = 35171925937823
BaseRepresentation
bin1100011011011011111…
…10000000110100101001
31111211021121202212121010
412031231332000310221
523444042431011040
6524103233334133
742565421233152
oct6155576006451
91454247685533
10427046735145
11155122826878
126a921107349
1331368c03234
14169522cc929
15b196110e80
hex636df80d29

427046735145 has 96 divisors (see below), whose sum is σ = 764934077952. Its totient is φ = 202710196224.

The previous prime is 427046735131. The next prime is 427046735173. The reversal of 427046735145 is 541537640724.

427046735145 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 427046735145 - 26 = 427046735081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 427046735094 and 427046735103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54584704 + ... + 54592526.

It is an arithmetic number, because the mean of its divisors is an integer number (7968063312).

Almost surely, 2427046735145 is an apocalyptic number.

It is an amenable number.

427046735145 is a deficient number, since it is larger than the sum of its proper divisors (337887342807).

427046735145 is a wasteful number, since it uses less digits than its factorization.

427046735145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 427046735145 in words is "four hundred twenty-seven billion, forty-six million, seven hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 19 51 57 85 95 255 285 323 361 593 969 1083 1615 1779 1805 2965 4845 5415 6137 7823 8895 10081 11267 18411 23469 30243 30685 33801 39115 50405 56335 92055 117345 132991 148637 151215 169005 191539 214073 398973 445911 574617 642219 664955 743185 957695 1070365 1994865 2229555 2526829 2824103 2873085 3211095 3639241 4639039 7580487 8472309 10917723 12634145 13917117 14120515 18196205 23195195 37902435 42361545 48009751 54588615 69585585 78863663 88141741 144029253 236590989 240048755 264425223 394318315 440708705 720146265 1182954945 1322126115 1498409597 1674693079 4495228791 5024079237 7492047985 8373465395 22476143955 25120396185 28469782343 85409347029 142348911715 427046735145