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81704891136 = 2831154717681
BaseRepresentation
bin100110000010111111…
…1011011001100000000
321210220011011111222010
41030011333123030000
52314312423004021
6101311255212520
75621503054461
oct1140577331400
9253804144863
1081704891136
1131718310020
1213a02977140
13792140473b
143d51374d68
1521d2edb976
hex1305fdb300

81704891136 has 144 divisors (see below), whose sum is σ = 237669844608. Its totient is φ = 24712396800.

The previous prime is 81704891069. The next prime is 81704891141. The reversal of 81704891136 is 63119840718.

It is a super-2 number, since 2×817048911362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4612216 + ... + 4629896.

It is an arithmetic number, because the mean of its divisors is an integer number (1650485032).

Almost surely, 281704891136 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 81704891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118834922304).

81704891136 is an abundant number, since it is smaller than the sum of its proper divisors (155964953472).

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

81704891136 is a wasteful number, since it uses less digits than its factorization.

81704891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18258 (or 18244 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 81704891136 in words is "eighty-one billion, seven hundred four million, eight hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 547 704 768 1056 1094 1408 1641 2112 2188 2816 3282 4224 4376 6017 6564 8448 8752 12034 13128 17504 17681 18051 24068 26256 35008 35362 36102 48136 52512 53043 70016 70724 72204 96272 105024 106086 140032 141448 144408 192544 194491 210048 212172 282896 288816 385088 388982 420096 424344 565792 577632 583473 770176 777964 848688 1131584 1155264 1166946 1540352 1555928 1697376 2263168 2310528 2333892 3111856 3394752 4526336 4621056 4667784 6223712 6789504 9335568 9671507 12447424 13579008 18671136 19343014 24894848 29014521 37342272 38686028 49789696 58029042 74684544 77372056 106386577 116058084 149369088 154744112 212773154 232116168 309488224 319159731 425546308 464232336 618976448 638319462 851092616 928464672 1237952896 1276638924 1702185232 1856929344 2475905792 2553277848 3404370464 3713858688 5106555696 6808740928 7427717376 10213111392 13617481856 20426222784 27234963712 40852445568 81704891136