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5164378432 = 264311316607
BaseRepresentation
bin1001100111101001…
…00010100101000000
3111022220200121101021
410303310202211000
541034040102212
62212242315224
7241656330613
oct46364424500
914286617337
105164378432
11221017aa54
121001658b14
13643c23235
1436dc5017a
152035c6307
hex133d22940

5164378432 has 56 divisors (see below), whose sum is σ = 10579827456. Its totient is φ = 2499667968.

The previous prime is 5164378423. The next prime is 5164378447. The reversal of 5164378432 is 2348734615.

It is a Harshad number since it is a multiple of its sum of digits (43).

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 7 ways as a sum of consecutive naturals, for example, 302673 + ... + 319279.

Almost surely, 25164378432 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 5164378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289913728).

5164378432 is an abundant number, since it is smaller than the sum of its proper divisors (5415449024).

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

5164378432 is a wasteful number, since it uses less digits than its factorization.

5164378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16775 (or 16765 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 5164378432 is about 71863.6099288089. The cubic root of 5164378432 is about 1728.5131434990.

The spelling of 5164378432 in words is "five billion, one hundred sixty-four million, three hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 113 172 226 344 452 688 904 1376 1808 2752 3616 4859 7232 9718 16607 19436 33214 38872 66428 77744 132856 155488 265712 310976 531424 714101 1062848 1428202 1876591 2856404 3753182 5712808 7506364 11425616 15012728 22851232 30025456 45702464 60050912 80693413 120101824 161386826 322773652 645547304 1291094608 2582189216 5164378432