Search a number
-
+
9293020749000 = 2332539787105503
BaseRepresentation
bin1000011100111011001100…
…1100110101110011001000
31012220101220121001011120200
42013032303030311303020
52204224101302432000
631433053234052200
71646253501020232
oct207166314656310
935811817034520
109293020749000
112a63169a4289a
121061071a1a060
13525435a9b981
14241adad4d252
15111aed2be500
hex873b3335cc8

9293020749000 has 192 divisors, whose sum is σ = 31413917283840. Its totient is φ = 2477862172800.

The previous prime is 9293020748989. The next prime is 9293020749011. The reversal of 9293020749000 is 9470203929.

9293020749000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9293020748989) and next prime (9293020749011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88030249 + ... + 88135751.

It is an arithmetic number, because the mean of its divisors is an integer number (163614152520).

Almost surely, 29293020749000 is an apocalyptic number.

9293020749000 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 9293020749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706958641920).

9293020749000 is an abundant number, since it is smaller than the sum of its proper divisors (22120896534840).

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

9293020749000 is a wasteful number, since it uses less digits than its factorization.

9293020749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115317 (or 115300 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 9293020749000 in words is "nine trillion, two hundred ninety-three billion, twenty million, seven hundred forty-nine thousand".