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42661354545 = 32567131108013
BaseRepresentation
bin100111101110110100…
…001001110000110001
311002010010212100121100
4213232310021300301
51144332301321140
631333124515013
73040121346645
oct475664116061
9132103770540
1042661354545
111710224a107
12832724ba69
13403b557b74
1420c9c20c25
15119a486530
hex9eed09c31

42661354545 has 48 divisors (see below), whose sum is σ = 75623625792. Its totient is φ = 22241831040.

The previous prime is 42661354529. The next prime is 42661354573. The reversal of 42661354545 is 54545316624.

42661354545 is a `hidden beast` number, since 4 + 2 + 6 + 61 + 3 + 545 + 45 = 666.

42661354545 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 42661354545 - 24 = 42661354529 is a prime.

It is a super-2 number, since 2×426613545452 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42661354545.

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, 340959 + ... + 448971.

It is an arithmetic number, because the mean of its divisors is an integer number (1575492204).

Almost surely, 242661354545 is an apocalyptic number.

42661354545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42661354545 is a deficient number, since it is larger than the sum of its proper divisors (32962271247).

42661354545 is a wasteful number, since it uses less digits than its factorization.

42661354545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108222 (or 108219 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 42661354545 in words is "forty-two billion, six hundred sixty-one million, three hundred fifty-four thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 67 131 201 335 393 603 655 1005 1179 1965 3015 5895 8777 26331 43885 78993 108013 131655 324039 394965 540065 972117 1620195 4860585 7236871 14149703 21710613 36184355 42449109 65131839 70748515 108553065 127347327 212245545 325659195 636736635 948030101 2844090303 4740150505 8532270909 14220451515 42661354545