Search a number
-
+
80839624320 = 27335713101509
BaseRepresentation
bin100101101001001101…
…0101100011010000000
321201122212000102001000
41023102122230122000
52311024420434240
6101045345412000
75561165316630
oct1132232543200
9251585012030
1080839624320
1131313951284
121380103a000
13781407c540
143cac49a6c0
152182071430
hex12d26ac680

80839624320 has 1024 divisors, whose sum is σ = 356565888000. Its totient is φ = 16854220800.

The previous prime is 80839624303. The next prime is 80839624363. The reversal of 80839624320 is 2342693808.

80839624320 is a `hidden beast` number, since 80 + 83 + 9 + 62 + 432 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158820226 + ... + 158820734.

It is an arithmetic number, because the mean of its divisors is an integer number (348208875).

Almost surely, 280839624320 is an apocalyptic number.

80839624320 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 80839624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178282944000).

80839624320 is an abundant number, since it is smaller than the sum of its proper divisors (275726263680).

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

80839624320 is a wasteful number, since it uses less digits than its factorization.

80839624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 80839624320 in words is "eighty billion, eight hundred thirty-nine million, six hundred twenty-four thousand, three hundred twenty".