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554417244061241 = 11237973074158527
BaseRepresentation
bin111111000001111010101001…
…0111000111011111000111001
32200201000202210222202001111012
41332003311102320323320321
51040132033003434424431
65243051433225243305
7224531216101533161
oct17603652270737071
92621022728661435
10554417244061241
1115072203a710300
1252221939333535
131aa48424c57352
149ac9d1b4175a1
1544169e8c4822b
hex1f83d52e3be39

554417244061241 has 48 divisors (see below), whose sum is σ = 634383180254208. Its totient is φ = 483757004712960.

The previous prime is 554417244061183. The next prime is 554417244061249. The reversal of 554417244061241 is 142160442714455.

It is a happy number.

It is not a de Polignac number, because 554417244061241 - 210 = 554417244060217 is a prime.

It is a super-3 number, since 3×5544172440612413 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 554417244061241.

It is not an unprimeable number, because it can be changed into a prime (554417244061249) 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 47 ways as a sum of consecutive naturals, for example, 131241320 + ... + 135399846.

It is an arithmetic number, because the mean of its divisors is an integer number (13216316255296).

Almost surely, 2554417244061241 is an apocalyptic number.

It is an amenable number.

554417244061241 is a deficient number, since it is larger than the sum of its proper divisors (79965936192967).

554417244061241 is a wasteful number, since it uses less digits than its factorization.

554417244061241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158990 (or 4158979 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 50.

Adding to 554417244061241 its reverse (142160442714455), we get a palindrome (696577686775696).

The spelling of 554417244061241 in words is "five hundred fifty-four trillion, four hundred seventeen billion, two hundred forty-four million, sixty-one thousand, two hundred forty-one".

Divisors: 1 11 37 97 121 307 407 1067 3377 3589 4477 11359 11737 29779 37147 39479 124949 327569 434269 1101823 1374439 3603259 4158527 12120053 45743797 133320583 153865499 403377119 503181767 1276667789 1692520489 4437148309 14043345679 14924953403 18617725379 47236708193 48808631399 123836775533 154476802469 164174487433 519603790123 1362204530863 1805919361763 4581960694721 5715641691353 14984249839493 50401567641931 554417244061241