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10441621506041 = 1147197306733427
BaseRepresentation
bin1001011111110010000100…
…1001000000011111111001
31100222012122120000012102222
42113330201021000133321
52332033420101143131
634112451550333425
72125245054250055
oct227744111003771
940865576005388
1010441621506041
1133662a31449a0
1212077a5aba275
135a984377193b
1428153cd90c65
1513192586e87b
hex97f212407f9

10441621506041 has 32 divisors (see below), whose sum is σ = 11696432596992. Its totient is φ = 9239967898560.

The previous prime is 10441621506023. The next prime is 10441621506053. The reversal of 10441621506041 is 14060512614401.

10441621506041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10441621506041 - 26 = 10441621505977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10441621505992 and 10441621506010.

It is not an unprimeable number, because it can be changed into a prime (10441621506061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312354170 + ... + 312387596.

It is an arithmetic number, because the mean of its divisors is an integer number (365513518656).

Almost surely, 210441621506041 is an apocalyptic number.

10441621506041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10441621506041 is a deficient number, since it is larger than the sum of its proper divisors (1254811090951).

10441621506041 is a wasteful number, since it uses less digits than its factorization.

10441621506041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36749.

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 10441621506041 in words is "ten trillion, four hundred forty-one billion, six hundred twenty-one million, five hundred six thousand, forty-one".

Divisors: 1 11 47 197 517 2167 3067 9259 33427 33737 101849 144149 367697 604199 1571069 1585639 6585119 6646189 17281759 28397353 72436309 102520609 309500593 312370883 1127726699 3404506523 4818468623 20196559973 53003154853 222162159703 949238318731 10441621506041