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78789683025 = 3252187132
BaseRepresentation
bin100100101100000111…
…0110010011101010001
321112100222200121020100
41021120032302131101
52242330124324100
6100110120203013
75456324153454
oct1113016623521
9245328617210
1078789683025
11304617a4019
121332a609469
13757846a721
143b5612149b
1520b20e6400
hex12583b2751

78789683025 has 27 divisors (see below), whose sum is σ = 141128618449. Its totient is φ = 42018918720.

The previous prime is 78789683017. The next prime is 78789683069. The reversal of 78789683025 is 52038698787.

The square root of 78789683025 is 280695.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2288761281 + 76500921744 = 47841^2 + 276588^2 .

It is not a de Polignac number, because 78789683025 - 23 = 78789683017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 4201069 + ... + 4219781.

Almost surely, 278789683025 is an apocalyptic number.

78789683025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78789683025 is the 280695-th square number.

78789683025 is the 140348-th centered octagonal number.

It is an amenable number.

78789683025 is a deficient number, since it is larger than the sum of its proper divisors (62338935424).

78789683025 is an frugal number, since it uses more digits than its factorization.

78789683025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37442 (or 18721 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 78789683025 in words is "seventy-eight billion, seven hundred eighty-nine million, six hundred eighty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 18713 56139 93565 168417 280695 467825 842085 1403475 4210425 350176369 1050529107 1750881845 3151587321 5252645535 8754409225 15757936605 26263227675 78789683025