Search a number
-
+
80710838208 = 263371113291609
BaseRepresentation
bin100101100101010111…
…1011010011111000000
321201022212200101201000
41023022233122133000
52310243433310313
6101024505212000
75555042543130
oct1131257323700
9251285611630
1080710838208
1131258189380
1213785a91000
1377c349a440
143c99334ac0
152175ad2673
hex12cabda7c0

80710838208 has 896 divisors, whose sum is σ = 329769216000. Its totient is φ = 18672353280.

The previous prime is 80710838167. The next prime is 80710838227. The reversal of 80710838208 is 80283801708.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50161308 + ... + 50162916.

It is an arithmetic number, because the mean of its divisors is an integer number (368046000).

Almost surely, 280710838208 is an apocalyptic number.

80710838208 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 80710838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164884608000).

80710838208 is an abundant number, since it is smaller than the sum of its proper divisors (249058377792).

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

80710838208 is a wasteful number, since it uses less digits than its factorization.

80710838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 80710838208 in words is "eighty billion, seven hundred ten million, eight hundred thirty-eight thousand, two hundred eight".