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5682315264 = 2143193599
BaseRepresentation
bin1010100101011000…
…10100000000000000
3112200000021112010220
411102230110000000
543114133042024
62335503423040
7260545611543
oct52254240000
915600245126
105682315264
11245657861a
121126bb4a80
136c7318632
143bc95485a
15233cd3e79
hex152b14000

5682315264 has 120 divisors (see below), whose sum is σ = 15256315200. Its totient is φ = 1881145344.

The previous prime is 5682315257. The next prime is 5682315299. The reversal of 5682315264 is 4625132865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9486037 + ... + 9486635.

It is an arithmetic number, because the mean of its divisors is an integer number (127135960).

Almost surely, 25682315264 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 5682315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628157600).

5682315264 is an abundant number, since it is smaller than the sum of its proper divisors (9573999936).

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

5682315264 is an equidigital number, since it uses as much as digits as its factorization.

5682315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 797 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 5682315264 is about 75381.1333425016. The cubic root of 5682315264 is about 1784.4666746173.

The spelling of 5682315264 in words is "five billion, six hundred eighty-two million, three hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 512 579 599 768 772 1024 1158 1198 1536 1544 1797 2048 2316 2396 3072 3088 3594 4096 4632 4792 6144 6176 7188 8192 9264 9584 12288 12352 14376 16384 18528 19168 24576 24704 28752 37056 38336 49152 49408 57504 74112 76672 98816 115008 115607 148224 153344 197632 230016 231214 296448 306688 346821 395264 460032 462428 592896 613376 693642 790528 920064 924856 1185792 1226752 1387284 1581056 1840128 1849712 2371584 2453504 2774568 3162112 3680256 3699424 4743168 4907008 5549136 7360512 7398848 9486336 9814016 11098272 14721024 14797696 22196544 29442048 29595392 44393088 59190784 88786176 118381568 177572352 236763136 355144704 473526272 710289408 947052544 1420578816 1894105088 2841157632 5682315264