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83384647696 = 2472103132
BaseRepresentation
bin100110110101000011…
…1001100000000010000
321222020012220222210001
41031222013030000100
52331232432211241
6102150102215344
76011230545100
oct1155207140020
9258205828701
1083384647696
11323aa506a89
12141b1424554
137b2b413b2c
1440704ab200
1522806e2431
hex136a1cc010

83384647696 has 45 divisors (see below), whose sum is σ = 187952756061. Its totient is φ = 35732812416.

The previous prime is 83384647639. The next prime is 83384647721. The reversal of 83384647696 is 69674648338.

The square root of 83384647696 is 288764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34306448400 + 49078199296 = 185220^2 + 221536^2 .

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 8 ways as a sum of consecutive naturals, for example, 8080236 + ... + 8090548.

Almost surely, 283384647696 is an apocalyptic number.

83384647696 is the 288764-th square number.

It is an amenable number.

83384647696 is an abundant number, since it is smaller than the sum of its proper divisors (104568108365).

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

83384647696 is an frugal number, since it uses more digits than its factorization.

83384647696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20648 (or 10322 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 64.

Multiplying 83384647696 by its sum of digits (64), we get a square (5336617452544 = 23101122).

The spelling of 83384647696 in words is "eighty-three billion, three hundred eighty-four million, six hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 10313 20626 41252 72191 82504 144382 165008 288764 505337 577528 1010674 1155056 2021348 4042696 8085392 106357969 212715938 425431876 744505783 850863752 1489011566 1701727504 2978023132 5211540481 5956046264 10423080962 11912092528 20846161924 41692323848 83384647696