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1005980916196 = 225014932
BaseRepresentation
bin11101010001110010010…
…00101001100111100100
310120011121112120110002201
432220321020221213210
5112440222103304241
62050050302144244
7132452100462334
oct16507110514744
93504545513081
101005980916196
113586a8001843
12142b70b82084
1373b2c4121c9
14369928c90c4
151b27b87e931
hexea392299e4

1005980916196 has 9 divisors (see below), whose sum is σ = 1760470113801. Its totient is φ = 502989455112.

The previous prime is 1005980916181. The next prime is 1005980916233. The reversal of 1005980916196 is 6916190895001.

The square root of 1005980916196 is 1002986.

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., 127142164900 + 878838751296 = 356570^2 + 937464^2 .

It is a super-2 number, since 2×10059809161962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1755226 + ... + 2256718.

Almost surely, 21005980916196 is an apocalyptic number.

1005980916196 is the 1002986-th square number.

It is an amenable number.

1005980916196 is a deficient number, since it is larger than the sum of its proper divisors (754489197605).

1005980916196 is an frugal number, since it uses more digits than its factorization.

1005980916196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002990 (or 501495 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 55.

The spelling of 1005980916196 in words is "one trillion, five billion, nine hundred eighty million, nine hundred sixteen thousand, one hundred ninety-six".

Divisors: 1 2 4 501493 1002986 2005972 251495229049 502990458098 1005980916196