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21817289596144 = 2472379107208161
BaseRepresentation
bin1001111010111101110111…
…10010111101110011110000
32212020201020102110011021011
410331132323302331303300
510324423302114034034
6114222420253040304
74411150526512540
oct475367362756360
985221212404234
1021817289596144
116a5172a224159
122544406186094
13c234915167b3
14555d68d71320
1527c7b771c864
hex13d7bbcbdcf0

21817289596144 has 80 divisors (see below), whose sum is σ = 51048238417920. Its totient is φ = 8830521722880.

The previous prime is 21817289596139. The next prime is 21817289596147. The reversal of 21817289596144 is 44169598271812.

It is a self number, because there is not a number n which added to its sum of digits gives 21817289596144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21817289596147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53400577 + ... + 53807584.

It is an arithmetic number, because the mean of its divisors is an integer number (638102980224).

Almost surely, 221817289596144 is an apocalyptic number.

It is an amenable number.

21817289596144 is an abundant number, since it is smaller than the sum of its proper divisors (29230948821776).

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

21817289596144 is a wasteful number, since it uses less digits than its factorization.

21817289596144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107208278 (or 107208272 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

The spelling of 21817289596144 in words is "twenty-one trillion, eight hundred seventeen billion, two hundred eighty-nine million, five hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 79 92 112 158 161 184 316 322 368 553 632 644 1106 1264 1288 1817 2212 2576 3634 4424 7268 8848 12719 14536 25438 29072 50876 101752 203504 107208161 214416322 428832644 750457127 857665288 1500914254 1715330576 2465787703 3001828508 4931575406 6003657016 8469444719 9863150812 12007314032 16938889438 17260513921 19726301624 33877778876 34521027842 39452603248 59286113033 67755557752 69042055684 118572226066 135511115504 138084111368 194797228537 237144452132 276168222736 389594457074 474288904264 779188914148 948577808528 1363580599759 1558377828296 2727161199518 3116755656592 5454322399036 10908644798072 21817289596144