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3628661406 = 231798733623
BaseRepresentation
bin1101100001001000…
…1111101010011110
3100100212222002122220
43120102033222132
524412414131111
61400022450210
7155631053526
oct33022175236
910325862586
103628661406
1115a2315027
12853293966
1345aa06a36
14265cd0686
15163873e06
hexd848fa9e

3628661406 has 16 divisors (see below), whose sum is σ = 7257942144. Its totient is φ = 1209450584.

The previous prime is 3628661371. The next prime is 3628661411. The reversal of 3628661406 is 6041668263.

It is a super-3 number, since 3×36286614063 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 91111 + ... + 124733.

It is an arithmetic number, because the mean of its divisors is an integer number (453621384).

Almost surely, 23628661406 is an apocalyptic number.

3628661406 is an abundant number, since it is smaller than the sum of its proper divisors (3629280738).

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

3628661406 is a wasteful number, since it uses less digits than its factorization.

3628661406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51615.

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3628661406 is about 60238.3715417341. The cubic root of 3628661406 is about 1536.6754341790.

The spelling of 3628661406 in words is "three billion, six hundred twenty-eight million, six hundred sixty-one thousand, four hundred six".

Divisors: 1 2 3 6 17987 33623 35974 53961 67246 100869 107922 201738 604776901 1209553802 1814330703 3628661406