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42278761924 = 22721927732
BaseRepresentation
bin100111011000000000…
…101011010111000100
311001010110221122012021
4213120000223113010
51143041330340144
631231140332524
73024464355400
oct473000532704
9131113848167
1042278761924
1116a26293663
12823b0a4144
133caa1cc8b9
1420910ac100
151176ab0884
hex9d802b5c4

42278761924 has 81 divisors (see below), whose sum is σ = 90953423757. Its totient is φ = 17143606368.

The previous prime is 42278761919. The next prime is 42278761927. The reversal of 42278761924 is 42916787224.

The square root of 42278761924 is 205618.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2690496900 + 39588265024 = 51870^2 + 198968^2 .

It is not an unprimeable number, because it can be changed into a prime (42278761927) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54694002 + ... + 54694774.

Almost surely, 242278761924 is an apocalyptic number.

42278761924 is the 205618-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42278761924

42278761924 is an abundant number, since it is smaller than the sum of its proper divisors (48674661833).

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

42278761924 is an equidigital number, since it uses as much as digits as its factorization.

42278761924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The spelling of 42278761924 in words is "forty-two billion, two hundred seventy-eight million, seven hundred sixty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 773 931 1444 1546 1862 2527 3092 3724 5054 5411 10108 10822 14687 17689 21644 29374 35378 37877 58748 70756 75754 102809 151508 205618 279053 411236 558106 597529 719663 1116212 1195058 1439326 1953371 2390116 2878652 3906742 4182703 7813484 8365406 11353051 13673597 16730812 22706102 27347194 29278921 45412204 54694388 58557842 79471357 117115684 158942714 215707969 317885428 431415938 556299499 862831876 1112598998 1509955783 2225197996 3019911566 6039823132 10569690481 21139380962 42278761924