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4331772068101 = 171601435736529
BaseRepresentation
bin111111000010010001101…
…111000100000100000101
3120100010001122101000111021
4333002101233010010011
51031432432122134401
613113553312511141
7624650231025562
oct77022157040405
916303048330437
104331772068101
111420104448995
1259b63984b4b1
1325563b17c92a
1410d931db1869
1577a2cb302a1
hex3f091bc4105

4331772068101 has 16 divisors (see below), whose sum is σ = 4590626030640. Its totient is φ = 4073368780800.

The previous prime is 4331772068093. The next prime is 4331772068137. The reversal of 4331772068101 is 1018602771334.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3190603323076 + 1141168745025 = 1786226^2 + 1068255^2 .

It is a cyclic number.

It is not a de Polignac number, because 4331772068101 - 23 = 4331772068093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331772068171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118566205 + ... + 118602733.

It is an arithmetic number, because the mean of its divisors is an integer number (286914126915).

Almost surely, 24331772068101 is an apocalyptic number.

It is an amenable number.

4331772068101 is a deficient number, since it is larger than the sum of its proper divisors (258853962539).

4331772068101 is a wasteful number, since it uses less digits than its factorization.

4331772068101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42504.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 4331772068101 in words is "four trillion, three hundred thirty-one billion, seven hundred seventy-two million, sixty-eight thousand, one hundred one".

Divisors: 1 17 1601 4357 27217 36529 74069 620993 6975557 58482929 118584469 159156853 994209793 2705666501 254810121653 4331772068101