Search a number
-
+
41992650096 = 243173171103227
BaseRepresentation
bin100111000110111101…
…001111110101110000
311000101112120122112220
4213012331033311300
51142000104300341
631142520121040
73014421431205
oct470675176560
9130345518486
1041992650096
1116899835601
12817b306180
133c62b55367
1420650b1cac
15115b8e6a66
hex9c6f4fd70

41992650096 has 320 divisors, whose sum is σ = 121939623936. Its totient is φ = 12392755200.

The previous prime is 41992650031. The next prime is 41992650097. The reversal of 41992650096 is 69005629914.

It is a super-3 number, since 3×419926500963 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41992650097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184989535 + ... + 184989761.

Almost surely, 241992650096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41992650096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60969811968).

41992650096 is an abundant number, since it is smaller than the sum of its proper divisors (79946973840).

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

41992650096 is a wasteful number, since it uses less digits than its factorization.

41992650096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 41992650096 in words is "forty-one billion, nine hundred ninety-two million, six hundred fifty thousand, ninety-six".