Search a number
-
+
9091087242840 = 2333528137797927
BaseRepresentation
bin1000010001001010111100…
…0001101001011001011000
31012012002200111112012021000
42010102233001221121120
52142422021313232330
631200215434145000
71625544421363101
oct204225701513130
935162614465230
109091087242840
112995565820919
121029ab6882160
1350c394017115
142360221613a8
1510b73021e560
hex844af069658

9091087242840 has 256 divisors, whose sum is σ = 30423351168000. Its totient is φ = 2414718673920.

The previous prime is 9091087242827. The next prime is 9091087242869. The reversal of 9091087242840 is 482427801909.

9091087242840 is a `hidden beast` number, since 9 + 0 + 9 + 108 + 72 + 428 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1146846957 + ... + 1146854883.

It is an arithmetic number, because the mean of its divisors is an integer number (118841215500).

Almost surely, 29091087242840 is an apocalyptic number.

9091087242840 is a gapful number since it is divisible by the number (90) 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 9091087242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211675584000).

9091087242840 is an abundant number, since it is smaller than the sum of its proper divisors (21332263925160).

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

9091087242840 is a wasteful number, since it uses less digits than its factorization.

9091087242840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12007 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 9091087242840 in words is "nine trillion, ninety-one billion, eighty-seven million, two hundred forty-two thousand, eight hundred forty".