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68572511280 = 243357131672089
BaseRepresentation
bin111111110111001111…
…010111110000110000
320112222221021111111000
4333313033113300300
52110414030330110
651300214522000
74645201504650
oct776717276060
9215887244430
1068572511280
1127099438729
1211358966300
13660a792c80
1434671ca360
151bb513b1c0
hexff73d7c30

68572511280 has 640 divisors, whose sum is σ = 292581273600. Its totient is φ = 14374526976.

The previous prime is 68572511257. The next prime is 68572511281. The reversal of 68572511280 is 8211527586.

68572511280 is a `hidden beast` number, since 6 + 8 + 57 + 2 + 511 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68572511281) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 32824476 + ... + 32826564.

It is an arithmetic number, because the mean of its divisors is an integer number (457158240).

Almost surely, 268572511280 is an apocalyptic number.

68572511280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68572511280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146290636800).

68572511280 is an abundant number, since it is smaller than the sum of its proper divisors (224008762320).

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

68572511280 is a wasteful number, since it uses less digits than its factorization.

68572511280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 68572511280 in words is "sixty-eight billion, five hundred seventy-two million, five hundred eleven thousand, two hundred eighty".