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5164287744 = 283711217467
BaseRepresentation
bin1001100111101000…
…01100011100000000
3111022220111222222110
410303310030130000
541034024201434
62212240335320
7241655502330
oct46364143400
914286458873
105164287744
112210118900
121001614540
13643bc0b85
1436dc290c0
152035a94e9
hex133d0c700

5164287744 has 432 divisors, whose sum is σ = 18320649984. Its totient is φ = 1259765760.

The previous prime is 5164287683. The next prime is 5164287763. The reversal of 5164287744 is 4477824615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5164287693 and 5164287702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11058199 + ... + 11058665.

It is an arithmetic number, because the mean of its divisors is an integer number (42408912).

Almost surely, 25164287744 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 5164287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160324992).

5164287744 is an abundant number, since it is smaller than the sum of its proper divisors (13156362240).

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

5164287744 is a wasteful number, since it uses less digits than its factorization.

5164287744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 507 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 5164287744 is about 71862.9789530047. The cubic root of 5164287744 is about 1728.5030257072.

The spelling of 5164287744 in words is "five billion, one hundred sixty-four million, two hundred eighty-seven thousand, seven hundred forty-four".