Search a number
-
+
1123171072884 = 22327232973239383
BaseRepresentation
bin10000010110000010001…
…101100111101101110100
310222101002201112020012100
4100112002031213231310
5121400223243313014
62215551102022100
7144101140411620
oct20260215475564
93871081466170
101123171072884
113a3374876003
12161817877930
1381bb7433ba3
143c50c9a8180
151e339d04009
hex10582367b74

1123171072884 has 576 divisors, whose sum is σ = 3574687334400. Its totient is φ = 290326063104.

The previous prime is 1123171072847. The next prime is 1123171072889. The reversal of 1123171072884 is 4882701713211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123171072889) 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 191 ways as a sum of consecutive naturals, for example, 2932561357 + ... + 2932561739.

It is an arithmetic number, because the mean of its divisors is an integer number (6206054400).

Almost surely, 21123171072884 is an apocalyptic number.

1123171072884 is a gapful number since it is divisible by the number (14) 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 1123171072884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787343667200).

1123171072884 is an abundant number, since it is smaller than the sum of its proper divisors (2451516261516).

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

1123171072884 is a wasteful number, since it uses less digits than its factorization.

1123171072884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1123171072884 in words is "one trillion, one hundred twenty-three billion, one hundred seventy-one million, seventy-two thousand, eight hundred eighty-four".