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5684948640 = 25325722331113
BaseRepresentation
bin1010100101101100…
…10110111010100000
3112200012020022110100
411102312112322200
543120321324030
62340040102400
7260610160200
oct52266267240
915605208410
105684948640
112458007068
121127a64a00
136c7a2b147
143bd03c400
15234154360
hex152d96ea0

5684948640 has 864 divisors, whose sum is σ = 24523140096. Its totient is φ = 1192181760.

The previous prime is 5684948569. The next prime is 5684948641. The reversal of 5684948640 is 468494865.

It is not an unprimeable number, because it can be changed into a prime (5684948641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50309224 + ... + 50309336.

It is an arithmetic number, because the mean of its divisors is an integer number (28383264).

Almost surely, 25684948640 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 5684948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261570048).

5684948640 is an abundant number, since it is smaller than the sum of its proper divisors (18838191456).

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

5684948640 is a wasteful number, since it uses less digits than its factorization.

5684948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 5684948640 is about 75398.5983954609. The cubic root of 5684948640 is about 1784.7422926687.

The spelling of 5684948640 in words is "five billion, six hundred eighty-four million, nine hundred forty-eight thousand, six hundred forty".