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42138370664 = 2313201292
BaseRepresentation
bin100111001111101001…
…001000001001101000
311000202200210000120222
4213033221020021220
51142244410330124
631205203305212
73021141145415
oct471751101150
9130680700528
1042138370664
1116964014625
12820007b208
133c870b6450
14207a5a510c
1511695cd25e
hex9cfa48268

42138370664 has 24 divisors (see below), whose sum is σ = 85091321910. Its totient is φ = 19447512576.

The previous prime is 42138370591. The next prime is 42138370669. The reversal of 42138370664 is 46607383124.

It can be written as a sum of positive squares in 3 ways, for example, as 41448888100 + 689482564 = 203590^2 + 26258^2 .

It is not an unprimeable number, because it can be changed into a prime (42138370669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2083352 + ... + 2103480.

Almost surely, 242138370664 is an apocalyptic number.

It is an amenable number.

42138370664 is an abundant number, since it is smaller than the sum of its proper divisors (42952951246).

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

42138370664 is an frugal number, since it uses more digits than its factorization.

42138370664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40277 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 42138370664 in words is "forty-two billion, one hundred thirty-eight million, three hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 20129 40258 80516 161032 261677 523354 1046708 2093416 405176641 810353282 1620706564 3241413128 5267296333 10534592666 21069185332 42138370664