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83805039081 = 32964972
BaseRepresentation
bin100111000001100101…
…0110110100111101001
322000022111222002100100
41032003022312213221
52333113042222311
6102255520500013
76024524036001
oct1160312664751
9260274862310
1083805039081
11325a583a285
12142aa17a609
137b97544a2a
1440b025d001
1522a7582a56
hex13832b69e9

83805039081 has 9 divisors (see below), whose sum is σ = 121052977591. Its totient is φ = 55869447072.

The previous prime is 83805039079. The next prime is 83805039091. The reversal of 83805039081 is 18093050838.

The square root of 83805039081 is 289491.

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., 3480410025 + 80324629056 = 58995^2 + 283416^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 83805039081 - 21 = 83805039079 is a prime.

It is a super-2 number, since 2×838050390812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83805039091) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 820225 + ... + 916721.

Almost surely, 283805039081 is an apocalyptic number.

83805039081 is the 289491-st square number.

83805039081 is the 144746-th centered octagonal number.

It is an amenable number.

83805039081 is a deficient number, since it is larger than the sum of its proper divisors (37247938510).

83805039081 is an frugal number, since it uses more digits than its factorization.

83805039081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193000 (or 96500 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 83805039081 in words is "eighty-three billion, eight hundred five million, thirty-nine thousand, eighty-one".

Divisors: 1 3 9 96497 289491 868473 9311671009 27935013027 83805039081