Search a number
-
+
6819078480 = 243528412827
BaseRepresentation
bin1100101100111001…
…01110000101010000
3122121020022002010020
412112130232011100
5102431141002410
63044352303440
7330661132164
oct62634560520
918536262106
106819078480
11298a212655
1213a3841b80
1384899b7a6
14489902ca4
1529d9cca70
hex19672e150

6819078480 has 40 divisors (see below), whose sum is σ = 21139144032. Its totient is φ = 1818420864.

The previous prime is 6819078457. The next prime is 6819078491. The reversal of 6819078480 is 848709186.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×68190784802 = 92999662632798220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14206174 + ... + 14206653.

Almost surely, 26819078480 is an apocalyptic number.

6819078480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6819078480 is an abundant number, since it is smaller than the sum of its proper divisors (14320065552).

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

6819078480 is a wasteful number, since it uses less digits than its factorization.

6819078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28412843 (or 28412837 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 6819078480 is about 82577.7117629206. The cubic root of 6819078480 is about 1896.3066275792.

The spelling of 6819078480 in words is "six billion, eight hundred nineteen million, seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 28412827 56825654 85238481 113651308 142064135 170476962 227302616 284128270 340953924 426192405 454605232 568256540 681907848 852384810 1136513080 1363815696 1704769620 2273026160 3409539240 6819078480