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80819891808 = 2538923993943
BaseRepresentation
bin100101101000100111…
…1011010111001100000
321201121110212220010020
41023101033122321200
52311004343014213
6101043402433440
75560535513505
oct1132117327140
9251543786106
1080819891808
11313037a3a17
12137b6502880
13780cc60ab6
143ca9a014ac
152180474923
hex12d13dae60

80819891808 has 96 divisors (see below), whose sum is σ = 214679808000. Its totient is φ = 26619411456.

The previous prime is 80819891783. The next prime is 80819891819.

80819891808 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20495085 + ... + 20499027.

It is an arithmetic number, because the mean of its divisors is an integer number (2236248000).

Almost surely, 280819891808 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 80819891808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107339904000).

80819891808 is an abundant number, since it is smaller than the sum of its proper divisors (133859916192).

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

80819891808 is a wasteful number, since it uses less digits than its factorization.

80819891808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 60.

The spelling of 80819891808 in words is "eighty billion, eight hundred nineteen million, eight hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2399 2848 3943 4272 4798 7197 7886 8544 9596 11829 14394 15772 19192 23658 28788 31544 38384 47316 57576 63088 76768 94632 115152 126176 189264 213511 230304 350927 378528 427022 640533 701854 854044 1052781 1281066 1403708 1708088 2105562 2562132 2807416 3416176 4211124 5124264 5614832 6832352 8422248 9459257 10248528 11229664 16844496 18918514 20497056 28377771 33688992 37837028 56755542 75674056 113511084 151348112 227022168 302696224 454044336 841873873 908088672 1683747746 2525621619 3367495492 5051243238 6734990984 10102486476 13469981968 20204972952 26939963936 40409945904 80819891808