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83828199961 = 112263212
BaseRepresentation
bin100111000010010001…
…1001101001000011001
322000101010112210002201
41032010203031020121
52333140004344321
6102302105130201
76025224641302
oct1160443151031
9260333483081
1083828199961
1132607919400
12142b5a89961
137b9c293aac
1440b336b7a9
1522a960a291
hex13848cd219

83828199961 has 9 divisors (see below), whose sum is σ = 92145241279. Its totient is φ = 76204559200.

The previous prime is 83828199953. The next prime is 83828200031. The reversal of 83828199961 is 16999182838.

Multipling 83828199961 by its sum of digits (64), we get a square (5365004797504 = 23162482).

The square root of 83828199961 is 289531.

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., 78809894361 + 5018305600 = 280731^2 + 70840^2 .

It is not a de Polignac number, because 83828199961 - 23 = 83828199953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83828199893 and 83828199902.

It is not an unprimeable number, because it can be changed into a prime (83828199361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3171681 + ... + 3198001.

Almost surely, 283828199961 is an apocalyptic number.

83828199961 is the 289531-st square number.

83828199961 is the 144766-th centered octagonal number.

It is an amenable number.

83828199961 is a deficient number, since it is larger than the sum of its proper divisors (8317041318).

83828199961 is an frugal number, since it uses more digits than its factorization.

83828199961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52664 (or 26332 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 64.

The spelling of 83828199961 in words is "eighty-three billion, eight hundred twenty-eight million, one hundred ninety-nine thousand, nine hundred sixty-one".

Divisors: 1 11 121 26321 289531 3184841 692795041 7620745451 83828199961