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5684017152 = 211311312713
BaseRepresentation
bin1010100101100101…
…10011100000000000
3112200010110222200210
411102302303200000
543120102022102
62340004114120
7260566230402
oct52262634000
915603428623
105684017152
112457530240
121127695940
136c7793178
143bcc78b72
1523401d36c
hex152cb3800

5684017152 has 192 divisors, whose sum is σ = 17070842880. Its totient is φ = 1666252800.

The previous prime is 5684017151. The next prime is 5684017187. The reversal of 5684017152 is 2517104865.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×56840171522 = 64616101968460382208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5684017152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5684017151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2093748 + ... + 2096460.

It is an arithmetic number, because the mean of its divisors is an integer number (88910640).

Almost surely, 25684017152 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 5684017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535421440).

5684017152 is an abundant number, since it is smaller than the sum of its proper divisors (11386825728).

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

5684017152 is a wasteful number, since it uses less digits than its factorization.

5684017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5684017152 is about 75392.4210514558. The cubic root of 5684017152 is about 1784.6448097103.

The spelling of 5684017152 in words is "five billion, six hundred eighty-four million, seventeen thousand, one hundred fifty-two".