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116300206624 = 2574322271237
BaseRepresentation
bin110110001010000001…
…0000101001000100000
3102010012011100122010011
41230110002011020200
53401140323102444
6125232205014304
711255012305540
oct1542402051040
9363164318104
10116300206624
1145360486648
121a658854394
13ac75836814
1458b3c1b320
15305a280734
hex1b14085220

116300206624 has 144 divisors (see below), whose sum is σ = 269300179008. Its totient is φ = 48430158336.

The previous prime is 116300206601. The next prime is 116300206643. The reversal of 116300206624 is 426602003611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94017334 + ... + 94018570.

It is an arithmetic number, because the mean of its divisors is an integer number (1870140132).

Almost surely, 2116300206624 is an apocalyptic number.

116300206624 is a gapful number since it is divisible by the number (14) 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 116300206624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134650089504).

116300206624 is an abundant number, since it is smaller than the sum of its proper divisors (152999972384).

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

116300206624 is a wasteful number, since it uses less digits than its factorization.

116300206624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 116300206624 in words is "one hundred sixteen billion, three hundred million, two hundred six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 227 301 344 454 602 688 908 1204 1237 1376 1589 1816 1849 2408 2474 3178 3632 3698 4816 4948 6356 7264 7396 8659 9632 9761 9896 12712 12943 14792 17318 19522 19792 25424 25886 29584 34636 39044 39584 50848 51772 53191 59168 68327 69272 78088 103544 106382 136654 138544 156176 207088 212764 273308 277088 280799 312352 372337 414176 419723 425528 546616 561598 744674 839446 851056 1093232 1123196 1489348 1678892 1702112 1965593 2186464 2246392 2287213 2938061 2978696 3357784 3931186 4492784 4574426 5876122 5957392 6715568 7862372 8985568 9148852 11752244 11914784 12074357 13431136 15724744 16010491 18297704 23504488 24148714 31449488 32020982 36595408 47008976 48297428 62898976 64041964 73190816 84520499 94017952 96594856 128083928 169040998 193189712 256167856 338081996 386379424 512335712 519197351 676163992 1038394702 1352327984 2076789404 2704655968 3634381457 4153578808 7268762914 8307157616 14537525828 16614315232 29075051656 58150103312 116300206624