Search a number
-
+
5866722864 = 2433831311249
BaseRepresentation
bin1010111011010111…
…10001011000110000
3120010212021101211000
411131223301120300
544003340112424
62410052122000
7265245215202
oct53553613060
916125241730
105866722864
1125406807a2
121178906300
137265a3762
143d9238772
152450ad3c9
hex15daf1630

5866722864 has 160 divisors (see below), whose sum is σ = 17186400000. Its totient is φ = 1915729920.

The previous prime is 5866722857. The next prime is 5866722887. The reversal of 5866722864 is 4682276685.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5866722864.

It is an unprimeable number.

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, 4696512 + ... + 4697760.

It is an arithmetic number, because the mean of its divisors is an integer number (107415000).

Almost surely, 25866722864 is an apocalyptic number.

5866722864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5866722864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200000).

5866722864 is an abundant number, since it is smaller than the sum of its proper divisors (11319677136).

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

5866722864 is a wasteful number, since it uses less digits than its factorization.

5866722864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 5866722864 is about 76594.5354708807. The cubic root of 5866722864 is about 1803.5652447985.

The spelling of 5866722864 in words is "five billion, eight hundred sixty-six million, seven hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 131 144 166 216 249 262 332 393 432 498 524 664 747 786 996 1048 1179 1249 1328 1494 1572 1992 2096 2241 2358 2498 2988 3144 3537 3747 3984 4482 4716 4996 5976 6288 7074 7494 8964 9432 9992 10873 11241 11952 14148 14988 17928 18864 19984 21746 22482 28296 29976 32619 33723 35856 43492 44964 56592 59952 65238 67446 86984 89928 97857 103667 130476 134892 163619 173968 179856 195714 207334 260952 269784 293571 311001 327238 391428 414668 490857 521904 539568 587142 622002 654476 782856 829336 933003 981714 1174284 1244004 1308952 1472571 1565712 1658672 1866006 1963428 2348568 2488008 2617904 2799009 2945142 3732012 3926856 4417713 4697136 4976016 5598018 5890284 7464024 7853712 8835426 11196036 11780568 13580377 14928048 17670852 22392072 23561136 27160754 35341704 40741131 44784144 54321508 70683408 81482262 108643016 122223393 162964524 217286032 244446786 325929048 366670179 488893572 651858096 733340358 977787144 1466680716 1955574288 2933361432 5866722864