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68746218025 = 5241212792
BaseRepresentation
bin100000000000110011…
…0000000101000101001
320120110001010201100011
41000001212000220221
52111243012434100
651325342011521
74652411132422
oct1000146005051
9216401121304
1068746218025
11271784a2121
12113a6b76ba1
136637772524
1434822c6649
151bc54eebba
hex1001980a29

68746218025 has 27 divisors (see below), whose sum is σ = 87443543973. Its totient is φ = 53613633600.

The previous prime is 68746218011. The next prime is 68746218049. The reversal of 68746218025 is 52081264786.

The square root of 68746218025 is 262195.

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 28936391449 + 39809826576 = 170107^2 + 199524^2 .

It is not a de Polignac number, because 68746218025 - 25 = 68746217993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68746218025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53749336 + ... + 53750614.

Almost surely, 268746218025 is an apocalyptic number.

68746218025 is the 262195-th square number.

68746218025 is the 131098-th centered octagonal number.

It is an amenable number.

68746218025 is a deficient number, since it is larger than the sum of its proper divisors (18697325948).

68746218025 is an frugal number, since it uses more digits than its factorization.

68746218025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 68746218025 by its sum of digits (49), we get a square (3368564683225 = 18353652).

The spelling of 68746218025 in words is "sixty-eight billion, seven hundred forty-six million, two hundred eighteen thousand, twenty-five".

Divisors: 1 5 25 41 205 1025 1279 1681 6395 8405 31975 42025 52439 262195 1310975 1635841 2149999 8179205 10749995 40896025 53749975 67069481 335347405 1676737025 2749848721 13749243605 68746218025