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3444925725952 = 2833158077001
BaseRepresentation
bin110010001000010101100…
…100101111110100000000
3110012022221210111222122221
4302020111210233310000
5422420201441212302
611154324345540424
7503613320346004
oct62102544576400
913168853458587
103444925725952
111108a91843a07
124777967a4714
131bcb16875329
14bca41912704
155e9252a8937
hex3221592fd00

3444925725952 has 72 divisors (see below), whose sum is σ = 6899342389632. Its totient is φ = 1716718080000.

The previous prime is 3444925725931. The next prime is 3444925725953. The reversal of 3444925725952 is 2595275294443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444925725953) 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 7 ways as a sum of consecutive naturals, for example, 492058452 + ... + 492065452.

It is an arithmetic number, because the mean of its divisors is an integer number (95824199856).

Almost surely, 23444925725952 is an apocalyptic number.

3444925725952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444925725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449671194816).

3444925725952 is an abundant number, since it is smaller than the sum of its proper divisors (3454416663680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3444925725952 is an equidigital number, since it uses as much as digits as its factorization.

3444925725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13141 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 61.

The spelling of 3444925725952 in words is "three trillion, four hundred forty-four billion, nine hundred twenty-five million, seven hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 331 662 1324 2648 5296 5807 7001 10592 11614 14002 21184 23228 28004 42368 46456 56008 84736 92912 112016 185824 224032 371648 448064 743296 896128 1486592 1792256 1922117 2317331 3844234 4634662 7688468 9269324 15376936 18538648 30753872 37077296 40654807 61507744 74154592 81309614 123015488 148309184 162619228 246030976 296618368 325238456 492061952 593236736 650476912 1300953824 2601907648 5203815296 10407630592 13456741117 26913482234 53826964468 107653928936 215307857872 430615715744 861231431488 1722462862976 3444925725952