Search a number
-
+
5518472680 = 2357176171879
BaseRepresentation
bin1010010001110110…
…10011010111101000
3112020120222110101001
411020323103113220
542300212111210
62311332004344
7253516146430
oct51073232750
915216873331
105518472680
112382041226
1210a01606b4
1369c3b0b66
143a4ca52c0
1522471d03a
hex148ed35e8

5518472680 has 128 divisors (see below), whose sum is σ = 15057446400. Its totient is φ = 1776918528.

The previous prime is 5518472623. The next prime is 5518472683. The reversal of 5518472680 is 862748155.

It is a self number, because there is not a number n which added to its sum of digits gives 5518472680.

It is not an unprimeable number, because it can be changed into a prime (5518472683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2935981 + ... + 2937859.

It is an arithmetic number, because the mean of its divisors is an integer number (117636300).

Almost surely, 25518472680 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 5518472680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528723200).

5518472680 is an abundant number, since it is smaller than the sum of its proper divisors (9538973720).

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

5518472680 is a wasteful number, since it uses less digits than its factorization.

5518472680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The square root of 5518472680 is about 74286.4232548586. The cubic root of 5518472680 is about 1767.1481712738.

The spelling of 5518472680 in words is "five billion, five hundred eighteen million, four hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 617 680 952 1190 1234 1879 2380 2468 3085 3758 4319 4760 4936 6170 7516 8638 9395 10489 12340 13153 15032 17276 18790 20978 21595 24680 26306 31943 34552 37580 41956 43190 52445 52612 63886 65765 73423 75160 83912 86380 104890 105224 127772 131530 146846 159715 172760 209780 223601 255544 263060 293692 319430 367115 419560 447202 526120 587384 638860 734230 894404 1118005 1159343 1277720 1468460 1788808 2236010 2318686 2936920 4472020 4637372 5796715 8115401 8944040 9274744 11593430 16230802 19708831 23186860 32461604 39417662 40577005 46373720 64923208 78835324 81154010 98544155 137961817 157670648 162308020 197088310 275923634 324616040 394176620 551847268 689809085 788353240 1103694536 1379618170 2759236340 5518472680