Search a number
-
+
80839198440 = 2332572111373439
BaseRepresentation
bin100101101001001100…
…1000100011011101000
321201122211012202211200
41023102121010123220
52311024313322230
6101045332324200
75561161564200
oct1132231043350
9251584182750
1080839198440
1131313690310
1213800a73660
137813c60740
143cac3c9400
152181eda160
hex12d26446e8

80839198440 has 1152 divisors, whose sum is σ = 364799635200. Its totient is φ = 15258378240.

The previous prime is 80839198397. The next prime is 80839198471. The reversal of 80839198440 is 4489193808.

80839198440 is a `hidden beast` number, since 8 + 0 + 8 + 3 + 9 + 198 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 184143741 + ... + 184144179.

It is an arithmetic number, because the mean of its divisors is an integer number (316666350).

Almost surely, 280839198440 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 80839198440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182399817600).

80839198440 is an abundant number, since it is smaller than the sum of its proper divisors (283960436760).

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

80839198440 is a wasteful number, since it uses less digits than its factorization.

80839198440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 80839198440 in words is "eighty billion, eight hundred thirty-nine million, one hundred ninety-eight thousand, four hundred forty".