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5072166765 = 325286139397
BaseRepresentation
bin1001011100101001…
…10001111101101101
3111002111011202202100
410232110301331231
540341433314030
62155150045313
7236456464131
oct45624617555
914074152670
105072166765
112173118a66
12b967a9839
1362aaa8713
143618c93c1
151ea45e360
hex12e531f6d

5072166765 has 24 divisors (see below), whose sum is σ = 8795051928. Its totient is φ = 2704141440.

The previous prime is 5072166761. The next prime is 5072166779. The reversal of 5072166765 is 5676612705.

5072166765 is a `hidden beast` number, since 507 + 21 + 6 + 67 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1034072649 + 4038094116 = 32157^2 + 63546^2 .

It is not a de Polignac number, because 5072166765 - 22 = 5072166761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5072166765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072166761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109047 + ... + 148443.

It is an arithmetic number, because the mean of its divisors is an integer number (366460497).

Almost surely, 25072166765 is an apocalyptic number.

It is an amenable number.

5072166765 is a deficient number, since it is larger than the sum of its proper divisors (3722885163).

5072166765 is a wasteful number, since it uses less digits than its factorization.

5072166765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42269 (or 42266 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5072166765 is about 71219.1460563801. The cubic root of 5072166765 is about 1718.1635759571.

The spelling of 5072166765 in words is "five billion, seventy-two million, one hundred sixty-six thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 2861 8583 14305 25749 39397 42915 118191 128745 196985 354573 590955 1772865 112714817 338144451 563574085 1014433353 1690722255 5072166765