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8081409680 = 2451743138191
BaseRepresentation
bin1111000011011000…
…01000011010010000
3202212012121010222122
413201230020122100
5113022320102210
63413524353412
7404156564111
oct74154103220
922765533878
108081409680
113477821783
121696545868
139ba378026
1456941a208
1532472bb55
hex1e1b08690

8081409680 has 80 divisors (see below), whose sum is σ = 20357339904. Its totient is φ = 2971637760.

The previous prime is 8081409659. The next prime is 8081409691. The reversal of 8081409680 is 869041808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10616 + ... + 127575.

Almost surely, 28081409680 is an apocalyptic number.

8081409680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8081409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178669952).

8081409680 is an abundant number, since it is smaller than the sum of its proper divisors (12275930224).

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

8081409680 is a wasteful number, since it uses less digits than its factorization.

8081409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138264 (or 138258 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 8081409680 is about 89896.6611170849. The cubic root of 8081409680 is about 2006.7612569449.

The spelling of 8081409680 in words is "eight billion, eighty-one million, four hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 2924 3440 3655 5848 7310 11696 14620 29240 58480 138191 276382 552764 690955 1105528 1381910 2211056 2349247 2763820 4698494 5527640 5942213 9396988 11055280 11746235 11884426 18793976 23492470 23768852 29711065 37587952 46984940 47537704 59422130 93969880 95075408 101017621 118844260 187939760 202035242 237688520 404070484 475377040 505088105 808140968 1010176210 1616281936 2020352420 4040704840 8081409680