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69968714256 = 243272472672
BaseRepresentation
bin100000100101001110…
…1011101101000010000
320200121020110221220100
41001022131131220100
52121243442324011
652050532212400
75024614154400
oct1011235355020
9220536427810
1069968714256
1127745573691
121168846a100
1367a0b1238c
14355a7d0800
151c479d0d56
hex104a75da10

69968714256 has 405 divisors, whose sum is σ = 236260157679. Its totient is φ = 19273693824.

The previous prime is 69968714251. The next prime is 69968714297. The reversal of 69968714256 is 65241786996.

The square root of 69968714256 is 264516.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (39191040) is a multiple of the sum of its prime divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 69968714193 and 69968714202.

It is not an unprimeable number, because it can be changed into a prime (69968714251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1044309135 + ... + 1044309201.

Almost surely, 269968714256 is an apocalyptic number.

69968714256 is the 264516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69968714256

69968714256 is an abundant number, since it is smaller than the sum of its proper divisors (166291443423).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

69968714256 is a wasteful number, since it uses less digits than its factorization.

69968714256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 126 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 69968714256 in words is "sixty-nine billion, nine hundred sixty-eight million, seven hundred fourteen thousand, two hundred fifty-six".