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10641108412441 = 131761378547817
BaseRepresentation
bin1001101011011001001101…
…1111001010100000011001
31101200021120010211000211201
42122312103133022200121
52343320442223144231
634344242511154201
72145536405054263
oct232662337124031
941607503730751
1010641108412441
1134329613162a1
12123a399815961
135c25b56a3020
1428b064c6cb33
15136bedc41161
hex9ad937ca819

10641108412441 has 16 divisors (see below), whose sum is σ = 12153546783504. Its totient is φ = 9229682571264.

The previous prime is 10641108412423. The next prime is 10641108412453. The reversal of 10641108412441 is 14421480114601.

10641108412441 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 8 ways, for example, as 1632826508041 + 9008281904400 = 1277821^2 + 3001380^2 .

It is not a de Polignac number, because 10641108412441 - 217 = 10641108281369 is a prime.

It is a super-2 number, since 2×106411084124412 (a number of 27 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 10641108412441.

It is not an unprimeable number, because it can be changed into a prime (10641108412541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39138436 + ... + 39409381.

It is an arithmetic number, because the mean of its divisors is an integer number (759596673969).

Almost surely, 210641108412441 is an apocalyptic number.

It is an amenable number.

10641108412441 is a deficient number, since it is larger than the sum of its proper divisors (1512438371063).

10641108412441 is a wasteful number, since it uses less digits than its factorization.

10641108412441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78548460.

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 10641108412441 in words is "ten trillion, six hundred forty-one billion, one hundred eight million, four hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 17 221 613 7969 10421 135473 78547817 1021121621 1335312889 17359067557 48149811821 625947553673 818546800957 10641108412441