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42112092780 = 2234525995119
BaseRepresentation
bin100111001110000100…
…111000101001101100
311000200212022222010000
4213032010320221230
51142221143432110
631202424144300
73020401611462
oct471604705154
9130625288100
1042112092780
11169501a666a
1281b3308090
133c818156c4
142076cc4832
15116713c1c0
hex9ce138a6c

42112092780 has 60 divisors (see below), whose sum is σ = 132107199840. Its totient is φ = 11229890976.

The previous prime is 42112092779. The next prime is 42112092787. The reversal of 42112092780 is 8729021124.

42112092780 is a `hidden beast` number, since 421 + 1 + 209 + 27 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×421120927802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42112092787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12995940 + ... + 12999179.

It is an arithmetic number, because the mean of its divisors is an integer number (2201786664).

Almost surely, 242112092780 is an apocalyptic number.

It is an amenable number.

42112092780 is an abundant number, since it is smaller than the sum of its proper divisors (89995107060).

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

42112092780 is a wasteful number, since it uses less digits than its factorization.

42112092780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25995140 (or 25995129 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 42112092780 in words is "forty-two billion, one hundred twelve million, ninety-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 25995119 51990238 77985357 103980476 129975595 155970714 233956071 259951190 311941428 389926785 467912142 519902380 701868213 779853570 935824284 1169780355 1403736426 1559707140 2105604639 2339560710 2807472852 3509341065 4211209278 4679121420 7018682130 8422418556 10528023195 14037364260 21056046390 42112092780