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81673885008 = 2434295321341
BaseRepresentation
bin100110000010000100…
…1001001010101010000
321210210222211020120000
41030010021021111100
52314232003310013
6101304230450000
75620645365552
oct1140411112520
9253728736500
1081673885008
1131701862721
12139b4503900
137917b69811
143d4b1c34d2
1521d0414973
hex1304249550

81673885008 has 100 divisors (see below), whose sum is σ = 236479049268. Its totient is φ = 27214133760.

The previous prime is 81673884997. The next prime is 81673885019. The reversal of 81673885008 is 80058837618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81673884997) and next prime (81673885019).

It can be written as a sum of positive squares in 2 ways, for example, as 76401382464 + 5272502544 = 276408^2 + 72612^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3816418 + ... + 3837758.

Almost surely, 281673885008 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 81673885008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118239524634).

81673885008 is an abundant number, since it is smaller than the sum of its proper divisors (154805164260).

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

81673885008 is a wasteful number, since it uses less digits than its factorization.

81673885008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24314 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 81673885008 in words is "eighty-one billion, six hundred seventy-three million, eight hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2953 5906 8859 11812 17718 21341 23624 26577 35436 42682 47248 53154 64023 70872 79731 85364 106308 128046 141744 159462 170728 192069 212616 239193 256092 318924 341456 384138 425232 478386 512184 576207 637848 768276 956772 1024368 1152414 1275696 1536552 1728621 1913544 2304828 3073104 3457242 3827088 4609656 6914484 9219312 13828968 27657936 63019973 126039946 189059919 252079892 378119838 504159784 567179757 756239676 1008319568 1134359514 1512479352 1701539271 2268719028 3024958704 3403078542 4537438056 5104617813 6806157084 9074876112 10209235626 13612314168 20418471252 27224628336 40836942504 81673885008