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80876096208 = 243217149221729
BaseRepresentation
bin100101101010010010…
…1110100101011010000
321201202101122101001200
41023110211310223100
52311113240034313
6101053131231200
75562120321645
oct1132445645320
9251671571050
1080876096208
11313324a2136
12138112a8500
13781b7ac23b
143cb3271dcc
152185377b73
hex12d4974ad0

80876096208 has 120 divisors (see below), whose sum is σ = 241264413000. Its totient is φ = 25202491392.

The previous prime is 80876096201. The next prime is 80876096219. The reversal of 80876096208 is 80269067808.

80876096208 is a `hidden beast` number, since 8 + 0 + 8 + 7 + 6 + 0 + 9 + 620 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12385018944 + 68491077264 = 111288^2 + 261708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80876096201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 253888 + ... + 475616.

It is an arithmetic number, because the mean of its divisors is an integer number (2010536775).

Almost surely, 280876096208 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 80876096208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120632206500).

80876096208 is an abundant number, since it is smaller than the sum of its proper divisors (160388316792).

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

80876096208 is a wasteful number, since it uses less digits than its factorization.

80876096208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221909 (or 221900 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 80876096208 in words is "eighty billion, eight hundred seventy-six million, ninety-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 149 153 204 272 298 306 408 447 596 612 816 894 1192 1224 1341 1788 2384 2448 2533 2682 3576 5066 5364 7152 7599 10132 10728 15198 20264 21456 22797 30396 40528 45594 60792 91188 121584 182376 221729 364752 443458 665187 886916 1330374 1773832 1995561 2660748 3547664 3769393 3991122 5321496 7538786 7982244 10642992 11308179 15077572 15964488 22616358 30155144 31928976 33037621 33924537 45232716 60310288 66075242 67849074 90465432 99112863 132150484 135698148 180930864 198225726 264300968 271396296 297338589 396451452 528601936 542792592 561639557 594677178 792902904 1123279114 1189354356 1585805808 1684918671 2246558228 2378708712 3369837342 4493116456 4757417424 5054756013 6739674684 8986232912 10109512026 13479349368 20219024052 26958698736 40438048104 80876096208