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68134050625 = 545321972
BaseRepresentation
bin111111011101000110…
…110001101101000001
320111212101020101112111
4333131012301231001
52104014304110000
651144513055321
74631265606004
oct773506615501
9214771211474
1068134050625
1126993993753
1211255b57541
13656a9a66b4
143424c9353b
151b8b8cbcba
hexfdd1b1b41

68134050625 has 45 divisors (see below), whose sum is σ = 87219769021. Its totient is φ = 53207336000.

The previous prime is 68134050619. The next prime is 68134050679. The reversal of 68134050625 is 52605043186.

The square root of 68134050625 is 261025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 47183225089 + 20950825536 = 217217^2 + 144744^2 .

It is not a de Polignac number, because 68134050625 - 27 = 68134050497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 345858027 + ... + 345858223.

Almost surely, 268134050625 is an apocalyptic number.

68134050625 is the 261025-th square number.

68134050625 is the 130513-rd centered octagonal number.

It is an amenable number.

68134050625 is a deficient number, since it is larger than the sum of its proper divisors (19085718396).

68134050625 is an frugal number, since it uses more digits than its factorization.

68134050625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 68134050625 in words is "sixty-eight billion, one hundred thirty-four million, fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 53 125 197 265 625 985 1325 2809 4925 6625 10441 14045 24625 33125 38809 52205 70225 123125 194045 261025 351125 553373 970225 1305125 1755625 2056877 2766865 4851125 6525625 10284385 13834325 24255625 51421925 69171625 109014481 257109625 345858125 545072405 1285548125 2725362025 13626810125 68134050625