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10506041441 = 72535968567
BaseRepresentation
bin10011100100011010…
…10111100001100001
31000010011222012110222
421302031113201201
5133004021311231
64454300532425
7521230610300
oct116215274141
930104865428
1010506041441
114501428485
122052551115
13cb57a938c
1471944c437
1541751b27b
hex272357861

10506041441 has 24 divisors (see below), whose sum is σ = 12663138240. Its totient is φ = 8685392352.

The previous prime is 10506041417. The next prime is 10506041449. The reversal of 10506041441 is 14414060501.

It is not a de Polignac number, because 10506041441 - 226 = 10438932577 is a prime.

It is a super-2 number, since 2×105060414412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10506041441.

It is not an unprimeable number, because it can be changed into a prime (10506041449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118940 + ... + 187506.

It is an arithmetic number, because the mean of its divisors is an integer number (527630760).

Almost surely, 210506041441 is an apocalyptic number.

It is an amenable number.

10506041441 is a deficient number, since it is larger than the sum of its proper divisors (2157096799).

10506041441 is an equidigital number, since it uses as much as digits as its factorization.

10506041441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68693 (or 68686 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 10506041441 in words is "ten billion, five hundred six million, forty-one thousand, four hundred forty-one".

Divisors: 1 7 49 53 59 371 413 2597 2891 3127 21889 68567 153223 479969 3359783 3634051 4045453 25438357 28318171 178068499 198227197 214409009 1500863063 10506041441