Search a number
-
+
80734998240 = 25335134773419
BaseRepresentation
bin100101100110000101…
…1100100111011100000
321201101120010212001000
41023030023210323200
52310321124420430
6101031131112000
75555455106421
oct1131413447340
9251346125030
1080734998240
113126a890146
1213791ba2600
1377c84a9210
143c9c623648
152177ca5e60
hex12cc2e4ee0

80734998240 has 768 divisors, whose sum is σ = 315792691200. Its totient is φ = 19138166784.

The previous prime is 80734998173. The next prime is 80734998263. The reversal of 80734998240 is 4289943708.

80734998240 is a `hidden beast` number, since 8 + 0 + 73 + 499 + 82 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192684751 + ... + 192685169.

It is an arithmetic number, because the mean of its divisors is an integer number (411188400).

Almost surely, 280734998240 is an apocalyptic number.

80734998240 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 80734998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157896345600).

80734998240 is an abundant number, since it is smaller than the sum of its proper divisors (235057692960).

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

80734998240 is a wasteful number, since it uses less digits than its factorization.

80734998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 80734998240 in words is "eighty billion, seven hundred thirty-four million, nine hundred ninety-eight thousand, two hundred forty".