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678489927025 = 52151210912
BaseRepresentation
bin10011101111110010010…
…01101010110101110001
32101212022010111110210111
421313321021222311301
542104021410131100
61235405521501321
7100006420136341
oct11677111526561
92355263443714
10678489927025
1124182296a489
12ab5b4aa1841
134bc9ac84201
1424ba6656d21
15129b09a26ba
hex9df926ad71

678489927025 has 27 divisors (see below), whose sum is σ = 847713118539. Its totient is φ = 538703070000.

The previous prime is 678489926999. The next prime is 678489927067. The reversal of 678489927025 is 520729984876.

The square root of 678489927025 is 823705.

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., 244256373729 + 434233553296 = 494223^2 + 658964^2 .

It is not a de Polignac number, because 678489927025 - 223 = 678481538417 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 621896730 + ... + 621897820.

Almost surely, 2678489927025 is an apocalyptic number.

678489927025 is the 823705-th square number.

678489927025 is the 411853-rd centered octagonal number.

It is an amenable number.

678489927025 is a deficient number, since it is larger than the sum of its proper divisors (169223191514).

678489927025 is an frugal number, since it uses more digits than its factorization.

678489927025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 678489927025 in words is "six hundred seventy-eight billion, four hundred eighty-nine million, nine hundred twenty-seven thousand, twenty-five".

Divisors: 1 5 25 151 755 1091 3775 5455 22801 27275 114005 164741 570025 823705 1190281 4118525 5951405 24875891 29757025 124379455 179732431 621897275 898662155 4493310775 27139597081 135697985405 678489927025