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685630941408 = 253272374132027
BaseRepresentation
bin10011111101000101100…
…10011110100011100000
32102112201210120120221200
421332202302132203200
542213133010111113
61242550254321200
7100351400562300
oct11764262364340
92375653516850
10685630941408
11244857879266
12b0a684b9200
134c8685610ca
1425282bdd600
1512c7c873873
hex9fa2c9e8e0

685630941408 has 432 divisors, whose sum is σ = 2386280345904. Its totient is φ = 185945518080.

The previous prime is 685630941397. The next prime is 685630941469. The reversal of 685630941408 is 804149036586.

685630941408 is a `hidden beast` number, since 68 + 563 + 0 + 9 + 4 + 14 + 0 + 8 = 666.

685630941408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21391891 + ... + 21423917.

It is an arithmetic number, because the mean of its divisors is an integer number (5523797097).

Almost surely, 2685630941408 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 685630941408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193140172952).

685630941408 is an abundant number, since it is smaller than the sum of its proper divisors (1700649404496).

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

685630941408 is a wasteful number, since it uses less digits than its factorization.

685630941408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32135 (or 32117 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 685630941408 in words is "six hundred eighty-five billion, six hundred thirty million, nine hundred forty-one thousand, four hundred eight".