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1983466622736 = 2434192292712
BaseRepresentation
bin11100110111001111110…
…100101100111100010000
321000121200012101021010000
4130313033310230330100
5224444114423411421
64115105245210000
7263205103055004
oct34671764547420
97017605337100
101983466622736
116a5202221835
122804aab60900
1311506a13aac1
146c000b58704
15368db779226
hex1cdcfd2cf10

1983466622736 has 675 divisors, whose sum is σ = 6364524865413. Its totient is φ = 596241596160.

The previous prime is 1983466622729. The next prime is 1983466622749. The reversal of 1983466622736 is 6372266643891.

The square root of 1983466622736 is 1408356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1040081784336 + 943384838400 = 1019844^2 + 971280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27936149581 + ... + 27936149651.

Almost surely, 21983466622736 is an apocalyptic number.

1983466622736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1983466622736 is the 1408356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983466622736

1983466622736 is an abundant number, since it is smaller than the sum of its proper divisors (4381058242677).

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

1983466622736 is an equidigital number, since it uses as much as digits as its factorization.

1983466622736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 124 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 1983466622736 in words is "one trillion, nine hundred eighty-three billion, four hundred sixty-six million, six hundred twenty-two thousand, seven hundred thirty-six".