Search a number
-
+
42035767704 = 2332783404301
BaseRepresentation
bin100111001001100001…
…101110100110011000
311000111112201020210100
4213021201232212120
51142042124031304
631151100215400
73015454062420
oct471141564630
9130445636710
1042035767704
1116911105497
12819183a560
133c6ba70c38
14206aad7480
1511605b2439
hex9c986e998

42035767704 has 48 divisors (see below), whose sum is σ = 130110711120. Its totient is φ = 12010219200.

The previous prime is 42035767703. The next prime is 42035767759. The reversal of 42035767704 is 40776753024.

42035767704 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 576 + 7 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42035767704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035767703) 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 11 ways as a sum of consecutive naturals, for example, 41701647 + ... + 41702654.

It is an arithmetic number, because the mean of its divisors is an integer number (2710639815).

Almost surely, 242035767704 is an apocalyptic number.

It is an amenable number.

42035767704 is an abundant number, since it is smaller than the sum of its proper divisors (88074943416).

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

42035767704 is a wasteful number, since it uses less digits than its factorization.

42035767704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83404320 (or 83404313 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 42035767704 in words is "forty-two billion, thirty-five million, seven hundred sixty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 83404301 166808602 250212903 333617204 500425806 583830107 667234408 750638709 1000851612 1167660214 1501277418 1751490321 2001703224 2335320428 3002554836 3502980642 4670640856 5254470963 6005109672 7005961284 10508941926 14011922568 21017883852 42035767704