Search a number
-
+
9244165938084 = 22327211265812
BaseRepresentation
bin1000011010000101001100…
…1110100001101110100100
31012201201210211002122001100
42012201103032201232210
52202424022440004314
631354413342000100
71642604023000200
oct206412316415644
935651724078040
109244165938084
112a4447974a300
1210536b8576030
1352094b37232c
1423d5c4761b00
151106de239c09
hex868533a1ba4

9244165938084 has 243 divisors, whose sum is σ = 29882550887553. Its totient is φ = 2400717211200.

The previous prime is 9244165938041. The next prime is 9244165938089. The reversal of 9244165938084 is 4808395614429.

The square root of 9244165938084 is 3040422.

It is a perfect power (a square), and thus also a powerful number.

9244165938084 is a `hidden beast` number, since 9 + 24 + 4 + 16 + 593 + 8 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2211698403684 + 7032467534400 = 1487178^2 + 2651880^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9244165938089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1404671674 + ... + 1404678254.

Almost surely, 29244165938084 is an apocalyptic number.

9244165938084 is the 3040422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9244165938084

9244165938084 is an abundant number, since it is smaller than the sum of its proper divisors (20638384949469).

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

9244165938084 is a wasteful number, since it uses less digits than its factorization.

9244165938084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13208 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 9244165938084 in words is "nine trillion, two hundred forty-four billion, one hundred sixty-five million, nine hundred thirty-eight thousand, eighty-four".