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42260066460 = 22325733216139
BaseRepresentation
bin100111010110111001…
…010111000010011100
311001002011202210211200
4213112321113002130
51143022034111320
631225231515500
73024146431563
oct472671270234
9131064683750
1042260066460
1116a16784467
128234988b90
133ca63851b1
14208c802bda
15117511b290
hex9d6e5709c

42260066460 has 72 divisors (see below), whose sum is σ = 129944920560. Its totient is φ = 11114972928.

The previous prime is 42260066389. The next prime is 42260066461. The reversal of 42260066460 is 6466006224.

42260066460 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 0 + 0 + 6 + 646 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42260066461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594930 + ... + 1621209.

Almost surely, 242260066460 is an apocalyptic number.

It is an amenable number.

42260066460 is an abundant number, since it is smaller than the sum of its proper divisors (87684854100).

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

42260066460 is a wasteful number, since it uses less digits than its factorization.

42260066460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216227 (or 3216222 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42260066460 in words is "forty-two billion, two hundred sixty million, sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 3216139 6432278 9648417 12864556 16080695 19296834 28945251 32161390 38593668 48242085 57890502 64322780 96484170 115781004 144726255 192968340 234778147 289452510 469556294 578905020 704334441 939112588 1173890735 1408668882 2113003323 2347781470 2817337764 3521672205 4226006646 4695562940 7043344410 8452013292 10565016615 14086688820 21130033230 42260066460