Search a number
-
+
80049340800 = 273352112131931
BaseRepresentation
bin100101010001101010…
…0000000000110000000
321122121202221211212000
41022203110000012000
52302420112401200
6100435115104000
75532461112222
oct1124324000600
9248552854760
1080049340800
1130a48847600
1213620442000
13771941c160
143c35540412
1521379b8300
hex12a3500180

80049340800 has 2304 divisors, whose sum is σ = 376809216000. Its totient is φ = 16422912000.

The previous prime is 80049340751. The next prime is 80049340807. The reversal of 80049340800 is 804394008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80049340807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2582236785 + ... + 2582236815.

Almost surely, 280049340800 is an apocalyptic number.

80049340800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80049340800 is the 163350-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80049340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188404608000).

80049340800 is an abundant number, since it is smaller than the sum of its proper divisors (296759875200).

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

80049340800 is a wasteful number, since it uses less digits than its factorization.

80049340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80049340800 in words is "eighty billion, forty-nine million, three hundred forty thousand, eight hundred".