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81418773312 = 26321231114827
BaseRepresentation
bin100101111010011101…
…1111110001101000000
321210011012210020002200
41023310323332031000
52313221201221222
6101223034513200
75611430103642
oct1136473761500
9253135706080
1081418773312
1131590858508
1213942b95800
1378a7057556
143d25376892
1521b7d20eac
hex12f4efe340

81418773312 has 84 divisors (see below), whose sum is σ = 233563826496. Its totient is φ = 27117308160.

The previous prime is 81418773301. The next prime is 81418773367. The reversal of 81418773312 is 21337781418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651643 + ... + 766469.

It is an arithmetic number, because the mean of its divisors is an integer number (2780521744).

Almost surely, 281418773312 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 81418773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116781913248).

81418773312 is an abundant number, since it is smaller than the sum of its proper divisors (152145053184).

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

81418773312 is a wasteful number, since it uses less digits than its factorization.

81418773312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116076 (or 116063 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 81418773312 in words is "eighty-one billion, four hundred eighteen million, seven hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1231 2462 3693 4924 7386 9848 11079 14772 19696 22158 29544 39392 44316 59088 78784 88632 114827 118176 177264 229654 236352 344481 354528 459308 688962 709056 918616 1033443 1377924 1837232 2066886 2755848 3674464 4133772 5511696 7348928 8267544 11023392 16535088 22046784 33070176 66140352 141352037 282704074 424056111 565408148 848112222 1130816296 1272168333 1696224444 2261632592 2544336666 3392448888 4523265184 5088673332 6784897776 9046530368 10177346664 13569795552 20354693328 27139591104 40709386656 81418773312