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100427287045384 = 231389443244710009
BaseRepresentation
bin10110110101011010001100…
…110001010010010100001000
3111011120202101022021102120001
4112311122030301102110020
5101130400040440423014
6553331354143012344
730103426536122365
oct2665321461222410
9434522338242501
10100427287045384
1129aa9a78448652
12b31b59329a0b4
134406338a78290
141ab29c6db746c
15b92526a4d974
hex5b568cc52508

100427287045384 has 128 divisors (see below), whose sum is σ = 205631794368000. Its totient is φ = 45703549292544.

The previous prime is 100427287045367. The next prime is 100427287045453. The reversal of 100427287045384 is 483540782724001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10033693372 + ... + 10033703380.

It is an arithmetic number, because the mean of its divisors is an integer number (1606498393500).

Almost surely, 2100427287045384 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 100427287045384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102815897184000).

100427287045384 is an abundant number, since it is smaller than the sum of its proper divisors (105204507322616).

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

100427287045384 is a wasteful number, since it uses less digits than its factorization.

100427287045384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13007 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 55.

The spelling of 100427287045384 in words is "one hundred trillion, four hundred twenty-seven billion, two hundred eighty-seven million, forty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 443 712 886 1157 1772 2314 2447 3544 4628 4894 5759 9256 9788 10009 11518 19576 20018 23036 31811 39427 40036 46072 63622 78854 80072 127244 130117 157708 217783 254488 260234 315416 435566 512551 520468 871132 890801 1025102 1040936 1084021 1742264 1781602 2050204 2168042 2831179 3563204 4100408 4336084 4433987 5662358 7126408 8672168 8867974 11324716 11580413 14092273 17735948 22649432 23160826 24492023 28184546 35471896 46321652 48984046 56369092 57641831 92643304 96477869 97968092 112738184 115283662 192955738 195936184 230567324 318396299 385911476 394624843 461134648 636792598 771822952 789249686 1254212297 1273585196 1578499372 2179790047 2508424594 2547170392 3156998744 4359580094 5016849188 5130122959 8719160188 10033698376 10260245918 10849966189 17438320376 20520491836 21699932378 28337270611 41040983672 43399864756 56674541222 86799729512 113349082444 141049560457 226698164888 282099120914 564198241828 965646990821 1128396483656 1931293981642 3862587963284 7725175926568 12553410880673 25106821761346 50213643522692 100427287045384