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5357716416 = 2632132232393
BaseRepresentation
bin1001111110101100…
…00100001111000000
3111211101111012020100
410333112010033000
541433033411131
62243350242400
7246524560323
oct47726041700
914741435210
105357716416
1122aa322708
121056356400
13674cb7100
1438b7ba7ba
152155667e6
hex13f5843c0

5357716416 has 252 divisors, whose sum is σ = 17359353648. Its totient is φ = 1576194048.

The previous prime is 5357716409. The next prime is 5357716433. The reversal of 5357716416 is 6146177535.

5357716416 is a `hidden beast` number, since 5 + 3 + 577 + 1 + 64 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2237716 + ... + 2240108.

It is an arithmetic number, because the mean of its divisors is an integer number (68886324).

Almost surely, 25357716416 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 5357716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679676824).

5357716416 is an abundant number, since it is smaller than the sum of its proper divisors (12001637232).

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

5357716416 is a wasteful number, since it uses less digits than its factorization.

5357716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2434 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5357716416 is about 73196.4235191857. The cubic root of 5357716416 is about 1749.8194552245.

The spelling of 5357716416 in words is "five billion, three hundred fifty-seven million, seven hundred sixteen thousand, four hundred sixteen".