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81999024978 = 2313311272571039
BaseRepresentation
bin100110001011110000…
…1011101001101010010
321211122122122001202010
41030113201131031102
52320413222244403
6101400403403350
75632004132523
oct1142741351522
9254578561663
1081999024978
1131859348142
1213a85383556
13796a32a430
143d7c45c84a
1521edc3c603
hex131785d352

81999024978 has 128 divisors (see below), whose sum is σ = 184638504960. Its totient is φ = 24106844160.

The previous prime is 81999024949. The next prime is 81999025001. The reversal of 81999024978 is 87942099918.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78920583 + ... + 78921621.

It is an arithmetic number, because the mean of its divisors is an integer number (1442488320).

Almost surely, 281999024978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81999024978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92319252480).

81999024978 is an abundant number, since it is smaller than the sum of its proper divisors (102639479982).

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

81999024978 is a wasteful number, since it uses less digits than its factorization.

81999024978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472.

The product of its (nonzero) digits is 23514624, while the sum is 66.

The spelling of 81999024978 in words is "eighty-one billion, nine hundred ninety-nine million, twenty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 127 186 254 257 381 403 514 762 771 806 1039 1209 1542 1651 2078 2418 3117 3302 3341 3937 4953 6234 6682 7874 7967 9906 10023 11811 13507 15934 20046 23622 23901 27014 32209 32639 40521 47802 51181 64418 65278 81042 96627 97917 102362 103571 131953 153543 193254 195834 207142 263906 267023 307086 310713 395859 418717 424307 534046 621426 791718 801069 837434 848614 1011809 1256151 1272921 1602138 1715389 2023618 2512302 2545842 3035427 3430778 3471299 4090543 5146167 6070854 6942598 8181086 8277713 10292334 10413897 12271629 13153517 16555426 20827794 24543258 24833139 26307034 33911921 39460551 49666278 53177059 67823842 78921102 101735763 106354118 107610269 159531177 203471526 215220538 319062354 322830807 440854973 645661614 881709946 1051269551 1322564919 2102539102 2645129838 3153808653 6307617306 13666504163 27333008326 40999512489 81999024978