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42066783345 = 3583149226769
BaseRepresentation
bin100111001011011000…
…000010110001110001
311000120201002000020210
4213023120002301301
51142123044031340
631154125054333
73016311521136
oct471330026161
9130521060223
1042066783345
1116927669a54
1281a00b73a9
133c753102a2
142070c8c58d
15116318c180
hex9cb602c71

42066783345 has 32 divisors (see below), whose sum is σ = 68575248000. Its totient is φ = 22016451584.

The previous prime is 42066783323. The next prime is 42066783439. The reversal of 42066783345 is 54338766024.

It is a cyclic number.

It is not a de Polignac number, because 42066783345 - 211 = 42066781297 is a prime.

It is a super-2 number, since 2×420667833452 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42066783294 and 42066783303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72121 + ... + 298889.

It is an arithmetic number, because the mean of its divisors is an integer number (2142976500).

Almost surely, 242066783345 is an apocalyptic number.

It is an amenable number.

42066783345 is a deficient number, since it is larger than the sum of its proper divisors (26508464655).

42066783345 is a wasteful number, since it uses less digits than its factorization.

42066783345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227009.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 42066783345 in words is "forty-two billion, sixty-six million, seven hundred eighty-three thousand, three hundred forty-five".

Divisors: 1 3 5 15 83 149 249 415 447 745 1245 2235 12367 37101 61835 185505 226769 680307 1133845 3401535 18821827 33788581 56465481 94109135 101365743 168942905 282327405 506828715 2804452223 8413356669 14022261115 42066783345