Search a number
-
+
5518712064 = 283291491663
BaseRepresentation
bin1010010001111000…
…01101110100000000
3112020121102121202010
411020330031310000
542300242241224
62311341052520
7253521164355
oct51074156400
915217377663
105518712064
112382195068
1210a0257140
1369c465ac8
143a4d2862c
15224768e29
hex148f0dd00

5518712064 has 144 divisors (see below), whose sum is σ = 15305472000. Its totient is φ = 1763155968.

The previous prime is 5518712047. The next prime is 5518712071. The reversal of 5518712064 is 4602178155.

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 15 ways as a sum of consecutive naturals, for example, 3317697 + ... + 3319359.

It is an arithmetic number, because the mean of its divisors is an integer number (106288000).

Almost surely, 25518712064 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 5518712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736000).

5518712064 is an abundant number, since it is smaller than the sum of its proper divisors (9786759936).

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

5518712064 is a wasteful number, since it uses less digits than its factorization.

5518712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1846 counting only the distinct ones).

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

The square root of 5518712064 is about 74288.0344604701. The cubic root of 5518712064 is about 1767.1737230829.

The spelling of 5518712064 in words is "five billion, five hundred eighteen million, seven hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 149 174 192 232 256 298 348 384 447 464 596 696 768 894 928 1192 1392 1663 1788 1856 2384 2784 3326 3576 3712 4321 4768 4989 5568 6652 7152 7424 8642 9536 9978 11136 12963 13304 14304 17284 19072 19956 22272 25926 26608 28608 34568 38144 39912 48227 51852 53216 57216 69136 79824 96454 103704 106432 114432 138272 144681 159648 192908 207408 212864 247787 276544 289362 319296 385816 414816 425728 495574 553088 578724 638592 743361 771632 829632 991148 1106176 1157448 1277184 1486722 1543264 1659264 1982296 2314896 2973444 3086528 3318528 3964592 4629792 5946888 6173056 7185823 7929184 9259584 11893776 12346112 14371646 15858368 18519168 21557469 23787552 28743292 31716736 37038336 43114938 47575104 57486584 63433472 86229876 95150208 114973168 172459752 190300416 229946336 344919504 459892672 689839008 919785344 1379678016 1839570688 2759356032 5518712064