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945448629901 = 3761764164609
BaseRepresentation
bin11011100001000010010…
…00010011011010001101
310100101100221101200211021
431300201020103122031
5110442234322124101
62002155541154141
7125210045520466
oct15604110233215
93311327350737
10945448629901
11334a65116156
121332989bb951
136b203607419
1433a8d477d6d
15198d75375a1
hexdc2121368d

945448629901 has 16 divisors (see below), whose sum is σ = 974107396080. Its totient is φ = 916958085120.

The previous prime is 945448629893. The next prime is 945448629911. The reversal of 945448629901 is 109926844549.

945448629901 = 6875492 + 6875502.

It can be written as a sum of positive squares in 8 ways, for example, as 87326160100 + 858122469801 = 295510^2 + 926349^2 .

It is a cyclic number.

It is not a de Polignac number, because 945448629901 - 23 = 945448629893 is a prime.

It is a super-3 number, since 3×9454486299013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 945448629901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945448629911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14601085 + ... + 14665693.

It is an arithmetic number, because the mean of its divisors is an integer number (60881712255).

Almost surely, 2945448629901 is an apocalyptic number.

945448629901 is the 687550-th centered square number.

It is an amenable number.

945448629901 is a deficient number, since it is larger than the sum of its proper divisors (28658766179).

945448629901 is a wasteful number, since it uses less digits than its factorization.

945448629901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65904.

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 945448629901 in words is "nine hundred forty-five billion, four hundred forty-eight million, six hundred twenty-nine thousand, nine hundred one".

Divisors: 1 37 617 641 22829 23717 64609 395497 2390533 14633389 39863753 41414369 1474958861 1532331653 25552665673 945448629901