Search a number
-
+
80062407936 = 28337171947109
BaseRepresentation
bin100101010010000010…
…1110110010100000000
321122122200112201121000
41022210011312110000
52302431434023221
6100440303132000
75533010144640
oct1124405662400
9248580481530
1080062407936
1130a55162095
12136248a4000
13771c045aa4
143c37182520
152138be9e26
hex12a4176500

80062407936 has 1152 divisors, whose sum is σ = 310818816000. Its totient is φ = 19779158016.

The previous prime is 80062407899. The next prime is 80062407989. The reversal of 80062407936 is 63970426008.

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

It is a junction number, because it is equal to n+sod(n) for n = 80062407891 and 80062407900.

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 127 ways as a sum of consecutive naturals, for example, 734517450 + ... + 734517558.

It is an arithmetic number, because the mean of its divisors is an integer number (269808000).

Almost surely, 280062407936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80062407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408000).

80062407936 is an abundant number, since it is smaller than the sum of its proper divisors (230756408064).

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

80062407936 is a wasteful number, since it uses less digits than its factorization.

80062407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 80062407936 in words is "eighty billion, sixty-two million, four hundred seven thousand, nine hundred thirty-six".