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42164034462 = 2331182098647
BaseRepresentation
bin100111010001001011…
…000001101110011110
311000211111001212201000
4213101023001232132
51142322443100322
631211521331130
73021602244114
oct472113015636
9130744055630
1042164034462
1116977553180
128208796aa6
133c8c500824
14207db65ab4
15116b99c3ac
hex9d12c1b9e

42164034462 has 64 divisors (see below), whose sum is σ = 102240115200. Its totient is φ = 12773946240.

The previous prime is 42164034461. The next prime is 42164034551. The reversal of 42164034462 is 26443046124.

42164034462 is a `hidden beast` number, since 4 + 2 + 1 + 640 + 3 + 4 + 4 + 6 + 2 = 666.

42164034462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421640344622 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42164034461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4871823 + ... + 4880469.

It is an arithmetic number, because the mean of its divisors is an integer number (1597501800).

Almost surely, 242164034462 is an apocalyptic number.

42164034462 is an abundant number, since it is smaller than the sum of its proper divisors (60076080738).

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

42164034462 is a wasteful number, since it uses less digits than its factorization.

42164034462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16878 (or 16872 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42164034462 in words is "forty-two billion, one hundred sixty-four million, thirty-four thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 8209 8647 16418 17294 24627 25941 49254 51882 73881 77823 90299 95117 147762 155646 180598 190234 221643 233469 270897 285351 443286 466938 541794 570702 812691 856053 1625382 1712106 2438073 2568159 4876146 5136318 70983223 141966446 212949669 425899338 638849007 780815453 1277698014 1561630906 1916547021 2342446359 3833094042 4684892718 7027339077 14054678154 21082017231 42164034462