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680524391232 = 26327229373607
BaseRepresentation
bin10011110011100100110…
…10100010001101000000
32102001112220200222000200
421321302122202031000
542122203221004412
61240343435245200
7100111012612020
oct11716232421500
92361486628020
10680524391232
11242677306564
12aba822a9800
134c23360749a
1424d1a923a80
1512a7e3c19dc
hex9e726a2340

680524391232 has 168 divisors, whose sum is σ = 2230259980416. Its totient is φ = 194348104704.

The previous prime is 680524391191. The next prime is 680524391257. The reversal of 680524391232 is 232193425086.

680524391232 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 24 + 391 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6805243912322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9208573 + ... + 9282179.

Almost surely, 2680524391232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680524391232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115129990208).

680524391232 is an abundant number, since it is smaller than the sum of its proper divisors (1549735589184).

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

680524391232 is a wasteful number, since it uses less digits than its factorization.

680524391232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75925 (or 75912 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 680524391232 in words is "six hundred eighty billion, five hundred twenty-four million, three hundred ninety-one thousand, two hundred thirty-two".