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8081444096 = 28113777563
BaseRepresentation
bin1111000011011000…
…10000110100000000
3202212012122220012022
413201230100310000
5113022322202341
63413525221012
7404160066335
oct74154206400
922765586168
108081444096
113477845620
121696561768
139ba38a8ab
1456942898c
15324736e4b
hex1e1b10d00

8081444096 has 72 divisors (see below), whose sum is σ = 18073653024. Its totient is φ = 3574056960.

The previous prime is 8081444087. The next prime is 8081444099. The reversal of 8081444096 is 6904441808.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081444099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65411 + ... + 142973.

Almost surely, 28081444096 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 8081444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9036826512).

8081444096 is an abundant number, since it is smaller than the sum of its proper divisors (9992208928).

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

8081444096 is a wasteful number, since it uses less digits than its factorization.

8081444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77627 (or 77613 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 8081444096 is about 89896.8525366712. The cubic root of 8081444096 is about 2006.7641056475.

The spelling of 8081444096 in words is "eight billion, eighty-one million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1184 1408 1628 2368 2816 3256 4736 6512 9472 13024 26048 52096 77563 104192 155126 310252 620504 853193 1241008 1706386 2482016 2869831 3412772 4964032 5739662 6825544 9928064 11479324 13651088 19856128 22958648 27302176 31568141 45917296 54604352 63136282 91834592 109208704 126272564 183669184 218417408 252545128 367338368 505090256 734676736 1010180512 2020361024 4040722048 8081444096