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3364444444633 = 29534095352001
BaseRepresentation
bin110000111101011000100…
…001000001011111011001
3102220122012220210021210221
4300331120201001133121
5420110340234212013
611053334320440041
7465034032631606
oct60753041013731
912818186707727
103364444444633
1110879421a6078
12464075779021
131b535bb1058c
14b8ba8c956ad
155c7b491d08d
hex30f588417d9

3364444444633 has 16 divisors (see below), whose sum is σ = 3554799728400. Its totient is φ = 3179344896000.

The previous prime is 3364444444579. The next prime is 3364444444643.

3364444444633 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1249304704729 + 2115139739904 = 1117723^2 + 1454352^2 .

It is a cyclic number.

It is not a de Polignac number, because 3364444444633 - 229 = 3363907573721 is a prime.

It is a super-2 number, since 2×33644444446332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3364444444643) 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, 2047368 + ... + 3304633.

It is an arithmetic number, because the mean of its divisors is an integer number (222174983025).

Almost surely, 23364444444633 is an apocalyptic number.

It is an amenable number.

3364444444633 is a deficient number, since it is larger than the sum of its proper divisors (190355283767).

3364444444633 is a wasteful number, since it uses less digits than its factorization.

3364444444633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352492.

The product of its digits is 47775744, while the sum is 52.

The spelling of 3364444444633 in words is "three trillion, three hundred sixty-four billion, four hundred forty-four million, four hundred forty-four thousand, six hundred thirty-three".

Divisors: 1 29 53 409 1537 11861 21677 628633 5352001 155208029 283656053 2188968409 8226025537 63480083861 116015325677 3364444444633