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933106108249 = 7237695052529
BaseRepresentation
bin11011001010000010111…
…01010100011101011001
310022012111202202122002201
431211001131110131121
5110242000130430444
61552355114130201
7124262145024400
oct15450135243531
93265452678081
10933106108249
1132a801087a37
12130a13420961
1369cb7507583
143323c178637
1519413ba8dd4
hexd941754759

933106108249 has 12 divisors (see below), whose sum is σ = 1085738171700. Its totient is φ = 799592871168.

The previous prime is 933106108243. The next prime is 933106108289. The reversal of 933106108249 is 942801601339.

It is a happy number.

933106108249 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 2 ways, for example, as 361570108249 + 571536000000 = 601307^2 + 756000^2 .

It is not a de Polignac number, because 933106108249 - 23 = 933106108241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 933106108199 and 933106108208.

It is not an unprimeable number, because it can be changed into a prime (933106108241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2341584 + ... + 2710945.

It is an arithmetic number, because the mean of its divisors is an integer number (90478180975).

Almost surely, 2933106108249 is an apocalyptic number.

It is an amenable number.

933106108249 is a deficient number, since it is larger than the sum of its proper divisors (152632063451).

933106108249 is a wasteful number, since it uses less digits than its factorization.

933106108249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056312 (or 5056305 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 933106108249 in words is "nine hundred thirty-three billion, one hundred six million, one hundred eight thousand, two hundred forty-nine".

Divisors: 1 7 49 3769 26383 184681 5052529 35367703 247573921 19042981801 133300872607 933106108249