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7680976848 = 243327165609
BaseRepresentation
bin1110010011101001…
…00110011111010000
3201211022010001102000
413021310212133100
5111212312224343
63310101554000
7361225140336
oct71164463720
921738101360
107680976848
113291790656
1215a4415900
1395541471c
1452c181b56
152ee4ceed3
hex1c9d267d0

7680976848 has 80 divisors (see below), whose sum is σ = 22128940800. Its totient is φ = 2550839040.

The previous prime is 7680976843. The next prime is 7680976889. The reversal of 7680976848 is 8486790867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680976843) by changing a digit.

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, 84268 + ... + 149876.

It is an arithmetic number, because the mean of its divisors is an integer number (276611760).

Almost surely, 27680976848 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 7680976848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064470400).

7680976848 is an abundant number, since it is smaller than the sum of its proper divisors (14447963952).

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

7680976848 is a wasteful number, since it uses less digits than its factorization.

7680976848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65897 (or 65885 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 7680976848 is about 87641.1823744979. The cubic root of 7680976848 is about 1973.0533057213.

The spelling of 7680976848 in words is "seven billion, six hundred eighty million, nine hundred seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 432 542 813 1084 1626 2168 2439 3252 4336 4878 6504 7317 9756 13008 14634 19512 29268 39024 58536 65609 117072 131218 196827 262436 393654 524872 590481 787308 1049744 1180962 1574616 1771443 2361924 3149232 3542886 4723848 7085772 9447696 14171544 17780039 28343088 35560078 53340117 71120156 106680234 142240312 160020351 213360468 284480624 320040702 426720936 480061053 640081404 853441872 960122106 1280162808 1920244212 2560325616 3840488424 7680976848