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621226136041 = 72109210332
BaseRepresentation
bin10010000101000111111…
…01101001000111101001
32012101111022120111011221
421002203331221013221
540134232342323131
61153215400022041
762611364013400
oct11024375510751
92171438514157
10621226136041
1121a507a5a795
12a0493461921
134677337a914
14220d3340637
151125d588411
hex90a3f691e9

621226136041 has 27 divisors (see below), whose sum is σ = 730048184901. Its totient is φ = 527083671744.

The previous prime is 621226136039. The next prime is 621226136059. The reversal of 621226136041 is 140631622126.

The square root of 621226136041 is 788179.

It is a perfect power (a square), and thus also a powerful number.

621226136041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 320259787225 + 300966348816 = 565915^2 + 548604^2 .

It is not a de Polignac number, because 621226136041 - 21 = 621226136039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 621226135988 and 621226136006.

It is not an unprimeable number, because it can be changed into a prime (621226136081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 601380061 + ... + 601381093.

It is an arithmetic number, because the mean of its divisors is an integer number (27038821663).

Almost surely, 2621226136041 is an apocalyptic number.

621226136041 is the 788179-th square number.

621226136041 is the 394090-th centered octagonal number.

It is an amenable number.

621226136041 is a deficient number, since it is larger than the sum of its proper divisors (108822048860).

621226136041 is an frugal number, since it uses more digits than its factorization.

621226136041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 621226136041 its reverse (140631622126), we get a palindrome (761857758167).

The spelling of 621226136041 in words is "six hundred twenty-one billion, two hundred twenty-six million, one hundred thirty-six thousand, forty-one".

Divisors: 1 7 49 109 763 1033 5341 7231 11881 50617 83167 112597 582169 788179 1067089 5517253 7469623 12273073 52287361 85911511 116312701 601380577 814188907 5699322349 12678084409 88746590863 621226136041