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28284690168735 = 35711131883762249
BaseRepresentation
bin1100110111001100010101…
…11010001111101110011111
310201010222201200121220222120
412123212022322033232133
512201404021140344420
6140053450212314023
75646333663400110
oct633461272175637
9121128650556876
1028284690168735
119015519246760
123209919612913
1312a2308c29b30
146dadb4606207
15340b3a393d40
hex19b98ae8fb9f

28284690168735 has 64 divisors (see below), whose sum is σ = 60762635136000. Its totient is φ = 10850470548480.

The previous prime is 28284690168667. The next prime is 28284690168739. The reversal of 28284690168735 is 53786109648282.

It is not a de Polignac number, because 28284690168735 - 29 = 28284690168223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 28284690168735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28284690168739) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941866110 + ... + 941896139.

It is an arithmetic number, because the mean of its divisors is an integer number (949416174000).

It is a 1-persistent number, because it is pandigital, but 2⋅28284690168735 = 56569380337470 is not.

Almost surely, 228284690168735 is an apocalyptic number.

28284690168735 is an abundant number, since it is smaller than the sum of its proper divisors (32477944967265).

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

28284690168735 is a wasteful number, since it uses less digits than its factorization.

28284690168735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883762288.

The product of its (nonzero) digits is 278691840, while the sum is 69.

The spelling of 28284690168735 in words is "twenty-eight trillion, two hundred eighty-four billion, six hundred ninety million, one hundred sixty-eight thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 1001 1155 1365 2145 3003 5005 15015 1883762249 5651286747 9418811245 13186335743 20721384739 24488909237 28256433735 39559007229 62164154217 65931678715 73466727711 103606923695 122444546185 145049693173 171422364659 197795036145 269378001607 310820771085 367333638555 435149079519 514267093977 725248465865 808134004821 857111823295 1346890008035 1885646011249 2175745397595 2571335469885 4040670024105 5656938033747 9428230056245 28284690168735