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211438079749 = 13317433118493
BaseRepresentation
bin1100010011101010110…
…0010000111100000101
3202012202111001100011201
43010322230100330011
511431011122022444
6241044443502501
721163430011201
oct3047254207405
9665674040151
10211438079749
1181741313876
1234b8a227a31
1316c27c2b8c0
14a33b229b01
1557776e9dd4
hex313ab10f05

211438079749 has 16 divisors (see below), whose sum is σ = 228950314992. Its totient is φ = 194106958848.

The previous prime is 211438079719. The next prime is 211438079761. The reversal of 211438079749 is 947970834112.

It can be written as a sum of positive squares in 8 ways, for example, as 135576394849 + 75861684900 = 368207^2 + 275430^2 .

It is a cyclic number.

It is not a de Polignac number, because 211438079749 - 27 = 211438079621 is a prime.

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 211438079749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211438079719) 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, 1725147 + ... + 1843639.

It is an arithmetic number, because the mean of its divisors is an integer number (14309394687).

Almost surely, 2211438079749 is an apocalyptic number.

It is an amenable number.

211438079749 is a deficient number, since it is larger than the sum of its proper divisors (17512235243).

211438079749 is a wasteful number, since it uses less digits than its factorization.

211438079749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119256.

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 211438079749 in words is "two hundred eleven billion, four hundred thirty-eight million, seventy-nine thousand, seven hundred forty-nine".

Divisors: 1 13 317 433 4121 5629 118493 137261 1540409 1784393 37562281 51307469 488309653 666997097 16264467673 211438079749