Search a number
-
+
80888371200 = 2113352713643
BaseRepresentation
bin100101101010101010…
…0101001100000000000
321201210020202000012000
41023111110221200000
52311124410334300
6101054250304000
75562326545050
oct1132524514000
9251706660160
1080888371200
113133941655a
1213815428000
1378211b9450
143cb4b49560
15218649ec00
hex12d5529800

80888371200 has 1152 divisors, whose sum is σ = 366251558400. Its totient is φ = 17040015360.

The previous prime is 80888371189. The next prime is 80888371231. The reversal of 80888371200 is 217388808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125798079 + ... + 125798721.

It is an arithmetic number, because the mean of its divisors is an integer number (317926700).

Almost surely, 280888371200 is an apocalyptic number.

80888371200 is a gapful number since it is divisible by the number (80) 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 80888371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183125779200).

80888371200 is an abundant number, since it is smaller than the sum of its proper divisors (285363187200).

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

80888371200 is a wasteful number, since it uses less digits than its factorization.

80888371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 80888371200 in words is "eighty billion, eight hundred eighty-eight million, three hundred seventy-one thousand, two hundred".