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2541935442332 = 22111310069441349
BaseRepresentation
bin100100111111010111001…
…010001011100110011100
3100000000011211222202110102
4210333113022023212130
5313121340433123312
65223425442200232
7351435346521266
oct44772712134634
910000154882412
102541935442332
118a003531a840
12350789053078
1315591b727440
148b05d332b36
15461c54a6ec2
hex24fd728b99c

2541935442332 has 48 divisors (see below), whose sum is σ = 5226607932000. Its totient is φ = 1066437999360.

The previous prime is 2541935442313. The next prime is 2541935442341. The reversal of 2541935442332 is 2332445391452.

It is a happy number.

It is a super-2 number, since 2×25419354423322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5538794 + ... + 5980142.

It is an arithmetic number, because the mean of its divisors is an integer number (108887665250).

Almost surely, 22541935442332 is an apocalyptic number.

2541935442332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2541935442332 is an abundant number, since it is smaller than the sum of its proper divisors (2684672489668).

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

2541935442332 is a wasteful number, since it uses less digits than its factorization.

2541935442332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451446 (or 451444 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 47.

The spelling of 2541935442332 in words is "two trillion, five hundred forty-one billion, nine hundred thirty-five million, four hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 10069 20138 40276 110759 130897 221518 261794 441349 443036 523588 882698 1439867 1765396 2879734 4854839 5737537 5759468 9709678 11475074 19419356 22950148 63112907 126225814 252451628 4443943081 8887886162 17775772324 48883373891 57771260053 97766747782 115542520106 195533495564 231085040212 635483860583 1270967721166 2541935442332