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4106040633361 = 41584917122129
BaseRepresentation
bin111011110000000011000…
…101111110100000010001
3112112112102000212000100101
4323300003011332200101
51014233132400231421
612422142232452401
7602436341343442
oct73600305764021
915475360760311
104106040633361
1113433a8990a47
1256394084a101
1323a275c2cb34
14102a3a7492c9
1571c1a6a7191
hex3bc0317e811

4106040633361 has 8 divisors (see below), whose sum is σ = 4206907341000. Its totient is φ = 4005208181760.

The previous prime is 4106040633329. The next prime is 4106040633379. The reversal of 4106040633361 is 1633360406014.

It can be written as a sum of positive squares in 4 ways, for example, as 477895690000 + 3628144943361 = 691300^2 + 1904769^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4106040633361 - 25 = 4106040633329 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 4106040633361.

It is not an unprimeable number, because it can be changed into a prime (4106040633061) 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 7 ways as a sum of consecutive naturals, for example, 8321256 + ... + 8800873.

It is an arithmetic number, because the mean of its divisors is an integer number (525863417625).

Almost surely, 24106040633361 is an apocalyptic number.

4106040633361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4106040633361 is a deficient number, since it is larger than the sum of its proper divisors (100866707639).

4106040633361 is a wasteful number, since it uses less digits than its factorization.

4106040633361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128019.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 4106040633361 in words is "four trillion, one hundred six billion, forty million, six hundred thirty-three thousand, three hundred sixty-one".

Divisors: 1 41 5849 239809 17122129 702007289 100147332521 4106040633361