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20354642642201 = 722333924145433
BaseRepresentation
bin1001010000011001011110…
…01111101000010100011001
32200001212220001011100211212
410220030233033220110121
510131442302004022301
6111142443240432505
74200401006524100
oct450145717502431
980055801140755
1020354642642201
1165383a014416a
122348a48778735
13b4858597ca0a
1450525452b037
1525470e7a24bb
hex12832f3e8519

20354642642201 has 24 divisors (see below), whose sum is σ = 23780600671464. Its totient is φ = 17371132369920.

The previous prime is 20354642642197. The next prime is 20354642642233. The reversal of 20354642642201 is 10224624645302.

It can be written as a sum of positive squares in 4 ways, for example, as 3889908121225 + 16464734520976 = 1972285^2 + 4057676^2 .

It is not a de Polignac number, because 20354642642201 - 22 = 20354642642197 is a prime.

It is a super-2 number, since 2×203546426422012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20354642644201) 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, 447991781 + ... + 448037213.

It is an arithmetic number, because the mean of its divisors is an integer number (990858361311).

Almost surely, 220354642642201 is an apocalyptic number.

It is an amenable number.

20354642642201 is a deficient number, since it is larger than the sum of its proper divisors (3425958029263).

20354642642201 is a wasteful number, since it uses less digits than its factorization.

20354642642201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84921 (or 84914 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 20354642642201 in words is "twenty trillion, three hundred fifty-four billion, six hundred forty-two million, six hundred forty-two thousand, two hundred one".

Divisors: 1 7 49 233 1631 11417 39241 45433 274687 318031 1922809 2226217 9143153 10585889 64002071 74101223 448014497 518708561 1782836353 12479854471 87358981297 415400870249 2907806091743 20354642642201