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20680134048 = 253273209347
BaseRepresentation
bin10011010000101000…
…011100110110100000
31222101020022122202200
4103100220130312200
5314323103242143
613300023013200
71331321145000
oct232050346640
958336278680
1020680134048
11885243a882
12401189a200
131c4757c912
14100276c000
158108171d3
hex4d0a1cda0

20680134048 has 144 divisors (see below), whose sum is σ = 68582404800. Its totient is φ = 5908581504.

The previous prime is 20680134037. The next prime is 20680134127. The reversal of 20680134048 is 84043108602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5890 + ... + 203457.

It is an arithmetic number, because the mean of its divisors is an integer number (476266700).

Almost surely, 220680134048 is an apocalyptic number.

20680134048 is a gapful number since it is divisible by the number (28) 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 20680134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34291202400).

20680134048 is an abundant number, since it is smaller than the sum of its proper divisors (47902270752).

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

20680134048 is a wasteful number, since it uses less digits than its factorization.

20680134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209384 (or 209359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20680134048 in words is "twenty billion, six hundred eighty million, one hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 24696 32928 49392 98784 209347 418694 628041 837388 1256082 1465429 1674776 1884123 2512164 2930858 3349552 3768246 4396287 5024328 5861716 6699104 7536492 8792574 10048656 10258003 11723432 13188861 15072984 17585148 20097312 20516006 23446864 26377722 30145968 30774009 35170296 41032012 46893728 52755444 60291936 61548018 70340592 71806021 82064024 92322027 105510888 123096036 140681184 143612042 164128048 184644054 211021776 215418063 246192072 287224084 328256096 369288108 422043552 430836126 492384144 574448168 646254189 738576216 861672252 984768288 1148896336 1292508378 1477152432 1723344504 2297792672 2585016756 2954304864 3446689008 5170033512 6893378016 10340067024 20680134048