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68546046969 = 3219724432
BaseRepresentation
bin111111110101101010…
…011010101111111001
320112221002110222021100
4333311222122233321
52110340242000334
651253431402013
74644430533351
oct776552325771
9215832428240
1068546046969
11270855026a4
121134bb23309
13660515840a
14346389bb61
151bb2b5ec99
hexff5a9abf9

68546046969 has 27 divisors (see below), whose sum is σ = 99741250063. Its totient is φ = 45362767632.

The previous prime is 68546046949. The next prime is 68546046971. The reversal of 68546046969 is 96964064586.

The square root of 68546046969 is 261813.

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

68546046969 is a `hidden beast` number, since 6 + 8 + 54 + 60 + 469 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67161314025 + 1384732944 = 259155^2 + 37212^2 .

It is not a de Polignac number, because 68546046969 - 25 = 68546046937 is a prime.

It is a super-2 number, since 2×685460469692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68546046929) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154731262 + ... + 154731704.

Almost surely, 268546046969 is an apocalyptic number.

68546046969 is the 261813-rd square number.

68546046969 is the 130907-th centered octagonal number.

It is an amenable number.

68546046969 is a deficient number, since it is larger than the sum of its proper divisors (31195203094).

68546046969 is an frugal number, since it uses more digits than its factorization.

68546046969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 68546046969 in words is "sixty-eight billion, five hundred forty-six million, forty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 197 443 591 1329 1773 3987 38809 87271 116427 196249 261813 349281 588747 785439 1766241 17192387 38661053 51577161 115983159 154731483 347949477 7616227441 22848682323 68546046969