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2693255406894 = 232132312921287
BaseRepresentation
bin100111001100010010100…
…010000010010100101110
3100112110202121012102022100
4213030102202002110232
5323111241341010034
65421133042155530
7365403244143603
oct47142242022456
910473677172270
102693255406894
11949226511898
12375b79952ba6
13166c855b1b00
14944d61206aa
154a0cedbc099
hex2731288252e

2693255406894 has 108 divisors (see below), whose sum is σ = 6529205828808. Its totient is φ = 801961037280.

The previous prime is 2693255406883. The next prime is 2693255406899. The reversal of 2693255406894 is 4986045523962.

It is a happy number.

2693255406894 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 2 + 5 + 540 + 6 + 89 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2693255406899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2462719 + ... + 3384005.

It is an arithmetic number, because the mean of its divisors is an integer number (60455609526).

Almost surely, 22693255406894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693255406894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264602914404).

2693255406894 is an abundant number, since it is smaller than the sum of its proper divisors (3835950421914).

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

2693255406894 is a wasteful number, since it uses less digits than its factorization.

2693255406894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921383 (or 921336 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 2693255406894 in words is "two trillion, six hundred ninety-three billion, two hundred fifty-five million, four hundred six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 169 186 234 279 338 403 507 558 806 961 1014 1209 1521 1922 2418 2883 3042 3627 5239 5766 7254 8649 10478 12493 15717 17298 24986 31434 37479 47151 74958 94302 112437 162409 224874 324818 487227 921287 974454 1461681 1842574 2763861 2923362 5527722 8291583 11976731 16583166 23953462 28559897 35930193 57119794 71860386 85679691 107790579 155697503 171359382 215581158 257039073 311395006 371278661 467092509 514078146 742557322 885356807 934185018 1113835983 1401277527 1770713614 2227671966 2656070421 2802555054 3341507949 4826622593 5312140842 6683015898 7968211263 9653245186 11509638491 14479867779 15936422526 23019276982 28959735558 34528915473 43439603337 69057830946 86879206674 103586746419 149625300383 207173492838 299250600766 448875901149 897751802298 1346627703447 2693255406894