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681569280000 = 213325472113
BaseRepresentation
bin10011110101100001011…
…00011110000000000000
32102011020201211210221200
421322300230132000000
542131323213430000
61241035243021200
7100145631201660
oct11726054360000
92364221753850
10681569280000
112430630a99a4
12b011420a800
134c36bc3046b
1424db95d81a0
1512ae0ebd500
hex9eb0b1e000

681569280000 has 840 divisors, whose sum is σ = 2813084562288. Its totient is φ = 155713536000.

The previous prime is 681569279939. The next prime is 681569280001. The reversal of 681569280000 is 82965186.

681569280000 is a `hidden beast` number, since 6 + 8 + 1 + 569 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681569280001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 322558944 + ... + 322561056.

Almost surely, 2681569280000 is an apocalyptic number.

681569280000 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 681569280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406542281144).

681569280000 is an abundant number, since it is smaller than the sum of its proper divisors (2131515282288).

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

681569280000 is an equidigital number, since it uses as much as digits as its factorization.

681569280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 681569280000 in words is "six hundred eighty-one billion, five hundred sixty-nine million, two hundred eighty thousand".