Search a number
-
+
10020738357891 = 3217678912898521
BaseRepresentation
bin1001000111010010001010…
…0011001101101010000011
31022110222021111002222200200
42101310202203031222003
52303134433004423031
633151244052020243
72052655144441152
oct221644243155203
938428244088620
1010020738357891
113213853621278
12115a105001683
13578c4a7b2801
142690134d5599
151259e090b8e6
hex91d228cda83

10020738357891 has 96 divisors (see below), whose sum is σ = 15743399630400. Its totient is φ = 6118617415680.

The previous prime is 10020738357887. The next prime is 10020738357893. The reversal of 10020738357891 is 19875383702001.

It is a happy number.

10020738357891 is a `hidden beast` number, since 1 + 0 + 0 + 207 + 3 + 8 + 357 + 89 + 1 = 666.

It is not a de Polignac number, because 10020738357891 - 22 = 10020738357887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020738357893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1176000711 + ... + 1176009231.

It is an arithmetic number, because the mean of its divisors is an integer number (163993746150).

Almost surely, 210020738357891 is an apocalyptic number.

10020738357891 is a deficient number, since it is larger than the sum of its proper divisors (5722661272509).

10020738357891 is a wasteful number, since it uses less digits than its factorization.

10020738357891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9986 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10020738357891 in words is "ten trillion, twenty billion, seven hundred thirty-eight million, three hundred fifty-seven thousand, eight hundred ninety-one".

Divisors: 1 3 9 17 51 67 89 153 201 267 603 801 1139 1289 1513 3417 3867 4539 5963 8521 10251 11601 13617 17889 21913 25563 53667 65739 76689 86363 101371 114721 144857 197217 259089 304113 344163 434571 570907 758369 777267 912339 1032489 1303713 1468171 1712721 1950257 2275107 4404513 5138163 5850771 6825321 7686307 9705419 10983569 12892273 13213539 17552313 23058921 29116257 32950707 38676819 50810723 69176763 87348771 98852121 116030457 130667219 152432169 186720673 392001657 457296507 560162019 735899123 863782291 977537641 1176004971 1680486057 2207697369 2591346873 2932612923 6623092107 7774040619 8797838769 12510285091 16618139897 37530855273 49854419691 65495021947 112592565819 149563259073 196485065841 589455197523 1113415373099 3340246119297 10020738357891