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3628617105 = 351761723063
BaseRepresentation
bin1101100001001000…
…0100110110010001
3100100212212211220010
43120102010312101
524412411221410
61400021505133
7155630510421
oct33022046621
910325784803
103628617105
1115a2294813
128532721a9
1345a9bc819
14265cbc481
15163865c20
hexd8484d91

3628617105 has 32 divisors (see below), whose sum is σ = 6157534464. Its totient is φ = 1818392576.

The previous prime is 3628617089. The next prime is 3628617119. The reversal of 3628617105 is 5017168263.

3628617105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3628617105 - 24 = 3628617089 is a prime.

It is a super-3 number, since 3×36286171053 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145804 + ... + 168866.

It is an arithmetic number, because the mean of its divisors is an integer number (192422952).

Almost surely, 23628617105 is an apocalyptic number.

It is an amenable number.

3628617105 is a deficient number, since it is larger than the sum of its proper divisors (2528917359).

3628617105 is a wasteful number, since it uses less digits than its factorization.

3628617105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23705.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3628617105 is about 60238.0038264881. The cubic root of 3628617105 is about 1536.6691805841.

The spelling of 3628617105 in words is "three billion, six hundred twenty-eight million, six hundred seventeen thousand, one hundred five".

Divisors: 1 3 5 15 17 51 85 255 617 1851 3085 9255 10489 23063 31467 52445 69189 115315 157335 345945 392071 1176213 1960355 5881065 14229871 42689613 71149355 213448065 241907807 725723421 1209539035 3628617105