Search a number
-
+
80075255043168 = 253372113119512843
BaseRepresentation
bin10010001101001111111001…
…001000011101010001100000
3101111112010020012111022112000
4102031033321020131101200
540443423110242340133
6442150021521204000
722603150316332500
oct2215177110352140
9344463205438460
1080075255043168
11235727a7a069a0
128b93154a90600
13358b0aac25468
1415ab93d49ba00
1593ce1b57e413
hex48d3f921d460

80075255043168 has 1152 divisors, whose sum is σ = 306207642746880. Its totient is φ = 20110446720000.

The previous prime is 80075255043143. The next prime is 80075255043169. The reversal of 80075255043168 is 86134055257008.

80075255043168 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 52 + 550 + 4 + 31 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80075255043169) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28165758355 + ... + 28165761197.

It is an arithmetic number, because the mean of its divisors is an integer number (265805245440).

Almost surely, 280075255043168 is an apocalyptic number.

80075255043168 is a gapful number since it is divisible by the number (88) 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 80075255043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153103821373440).

80075255043168 is an abundant number, since it is smaller than the sum of its proper divisors (226132387703712).

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

80075255043168 is a wasteful number, since it uses less digits than its factorization.

80075255043168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 80075255043168 in words is "eighty trillion, seventy-five billion, two hundred fifty-five million, forty-three thousand, one hundred sixty-eight".