Search a number
-
+
42337520640 = 21037519199
BaseRepresentation
bin100111011011100000…
…110100110000000000
311001021120111220000000
4213123200310300000
51143201401130030
631241040000000
73026106662532
oct473340646000
9131246456000
1042337520640
1116a56476988
128256900000
133cb943387c
142098c05852
15117bd1a860
hex9db834c00

42337520640 has 704 divisors, whose sum is σ = 161139840000. Its totient is φ = 10642046976.

The previous prime is 42337520623. The next prime is 42337520653. The reversal of 42337520640 is 4602573324.

42337520640 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 7 + 5 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42337520595 and 42337520604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212751261 + ... + 212751459.

Almost surely, 242337520640 is an apocalyptic number.

42337520640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42337520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80569920000).

42337520640 is an abundant number, since it is smaller than the sum of its proper divisors (118802319360).

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

42337520640 is an equidigital number, since it uses as much as digits as its factorization.

42337520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 42337520640 in words is "forty-two billion, three hundred thirty-seven million, five hundred twenty thousand, six hundred forty".