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680581727232 = 210311372292377
BaseRepresentation
bin10011110011101011101…
…01010000010000000000
32102001200220120221020020
421321311311100100000
542122312410232412
61240353244213440
7100112310142251
oct11716565202000
92361626527206
10680581727232
112426a6707990
12aba9953a280
134c242460a04
1424d243aab28
1512a8444a18c
hex9e75d50400

680581727232 has 352 divisors, whose sum is σ = 2042125192320. Its totient is φ = 199702609920.

The previous prime is 680581727183. The next prime is 680581727237. The reversal of 680581727232 is 232727185086.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (680581727237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286318428 + ... + 286320804.

Almost surely, 2680581727232 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 680581727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021062596160).

680581727232 is an abundant number, since it is smaller than the sum of its proper divisors (1361543465088).

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

680581727232 is a wasteful number, since it uses less digits than its factorization.

680581727232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 680581727232 in words is "six hundred eighty billion, five hundred eighty-one million, seven hundred twenty-seven thousand, two hundred thirty-two".