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81781745142276 = 2238558232
BaseRepresentation
bin10010100110000101001011…
…110111100100101000000100
3101201120020222102200100000000
4102212011023313210220010
541204403003224023101
6445534003130321300
723140351612003014
oct2246051367445004
9351506872610000
1081781745142276
11240704970a5a53
129209a24b89230
133682ca712335a
14162a386b53c44
1596c4e6a45486
hex4a614bde4a04

81781745142276 has 81 divisors (see below), whose sum is σ = 214670019820711. Its totient is φ = 27260093374488.

The previous prime is 81781745142269. The next prime is 81781745142299. The reversal of 81781745142276 is 67224154718718.

It is a happy number.

The square root of 81781745142276 is 9043326.

It is a perfect power (a square), and thus also a powerful number.

81781745142276 is a `hidden beast` number, since 8 + 1 + 78 + 1 + 7 + 451 + 42 + 2 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1464990901 + ... + 1465046723.

Almost surely, 281781745142276 is an apocalyptic number.

81781745142276 is the 9043326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81781745142276

81781745142276 is an abundant number, since it is smaller than the sum of its proper divisors (132888274678435).

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

81781745142276 is an frugal number, since it uses more digits than its factorization.

81781745142276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111674 (or 55828 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The spelling of 81781745142276 in words is "eighty-one trillion, seven hundred eighty-one billion, seven hundred forty-five million, one hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 55823 111646 167469 223292 334938 502407 669876 1004814 1507221 2009628 3014442 4521663 6028884 9043326 13564989 18086652 27129978 40694967 54259956 81389934 122084901 162779868 244169802 366254703 488339604 732509406 1465018812 3116207329 6232414658 9348621987 12464829316 18697243974 28045865961 37394487948 56091731922 84137597883 112183463844 168275195766 252412793649 336550391532 504825587298 757238380947 1009651174596 1514476761894 2271715142841 3028953523788 4543430285682 6815145428523 9086860571364 13630290857046 20445436285569 27260581714092 40890872571138 81781745142276