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42133525005 = 351113160112269
BaseRepresentation
bin100111001111010110…
…101001001000001101
311000202100122211121010
4213033112221020031
51142242140300010
631204511355433
73021052024215
oct471726511015
9130670584533
1042133525005
1116961304a50
1281ba522b79
133c860aa9b0
142079aa3245
151168e72620
hex9cf5a920d

42133525005 has 64 divisors (see below), whose sum is σ = 79255169280. Its totient is φ = 18843648000.

The previous prime is 42133525001. The next prime is 42133525043. The reversal of 42133525005 is 50052533124.

42133525005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42133525005 - 22 = 42133525001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133525001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3428011 + ... + 3440279.

It is an arithmetic number, because the mean of its divisors is an integer number (1238362020).

Almost surely, 242133525005 is an apocalyptic number.

It is an amenable number.

42133525005 is a deficient number, since it is larger than the sum of its proper divisors (37121644275).

42133525005 is a wasteful number, since it uses less digits than its factorization.

42133525005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13902.

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 42133525005 in words is "forty-two billion, one hundred thirty-three million, five hundred twenty-five thousand, five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 1601 2145 4803 8005 12269 17611 20813 24015 36807 52833 61345 62439 88055 104065 134959 159497 184035 228943 264165 312195 404877 478491 674795 686829 797485 1144715 1754467 2024385 2392455 3434145 5263401 8772335 19642669 26317005 58928007 98213345 216069359 255354697 294640035 648208077 766064091 1080346795 1276773485 2808901667 3241040385 3830320455 8426705001 14044508335 42133525005