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42332792208 = 2437127998507
BaseRepresentation
bin100111011011001110…
…110010010110010000
311001021020121122210220
4213123032302112100
51143144143322313
631240350353040
73026021540160
oct473316622620
9131236548726
1042332792208
1116a53837393
1282551bb780
133cb8469595
1420983345a0
15117b6d4823
hex9db3b2590

42332792208 has 80 divisors (see below), whose sum is σ = 125081518080. Its totient is φ = 12085504128.

The previous prime is 42332792153. The next prime is 42332792213. The reversal of 42332792208 is 80229723324.

42332792208 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 2×423327922082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 42332792208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380491 + ... + 478997.

It is an arithmetic number, because the mean of its divisors is an integer number (1563518976).

Almost surely, 242332792208 is an apocalyptic number.

42332792208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42332792208 is an abundant number, since it is smaller than the sum of its proper divisors (82748725872).

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

42332792208 is a wasteful number, since it uses less digits than its factorization.

42332792208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99804 (or 99798 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 42332792208 in words is "forty-two billion, three hundred thirty-two million, seven hundred ninety-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1279 2558 3837 5116 7674 8953 10232 15348 17906 20464 26859 30696 35812 53718 61392 71624 98507 107436 143248 197014 214872 295521 394028 429744 591042 689549 788056 1182084 1379098 1576112 2068647 2364168 2758196 4137294 4728336 5516392 8274588 11032784 16549176 33098352 125990453 251980906 377971359 503961812 755942718 881933171 1007923624 1511885436 1763866342 2015847248 2645799513 3023770872 3527732684 5291599026 6047541744 7055465368 10583198052 14110930736 21166396104 42332792208