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1983176512009 = 72112182892
BaseRepresentation
bin11100110110111110100…
…010000001001000001001
321000120220222111010000021
4130312332202001020021
5224443021141341014
64115020403140441
7263164651134100
oct34667642011011
97016828433007
101983176512009
116a5073492300
12280429974721
13115021cc3354
146bdb43db037
15368c1070624
hex1cdbe881209

1983176512009 has 27 divisors (see below), whose sum is σ = 2535888553191. Its totient is φ = 1545247851840.

The previous prime is 1983176511971. The next prime is 1983176512013. The reversal of 1983176512009 is 9002156713891.

The square root of 1983176512009 is 1408253.

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., 1955514169609 + 27662342400 = 1398397^2 + 166320^2 .

It is not a de Polignac number, because 1983176512009 - 211 = 1983176509961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1983176512909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108426337 + ... + 108444625.

Almost surely, 21983176512009 is an apocalyptic number.

1983176512009 is the 1408253-rd square number.

1983176512009 is the 704127-th centered octagonal number.

It is an amenable number.

1983176512009 is a deficient number, since it is larger than the sum of its proper divisors (552712041182).

1983176512009 is an frugal number, since it uses more digits than its factorization.

1983176512009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36614 (or 18307 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 52.

The spelling of 1983176512009 in words is "one trillion, nine hundred eighty-three billion, one hundred seventy-six million, five hundred twelve thousand, nine".

Divisors: 1 7 11 49 77 121 539 847 5929 18289 128023 201179 896161 1408253 2212969 9857771 15490783 108435481 334487521 2341412647 3679362731 16389888529 25755539117 40472990041 180288773819 283310930287 1983176512009