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83966514336 = 2532291550397
BaseRepresentation
bin100111000110011001…
…0110101010010100000
322000201202210212202100
41032030302311102200
52333430411424321
6102323525450400
76031524411225
oct1161462652240
9260652725670
1083966514336
11326789aa001
1214334270a00
137bc1b30b13
1440c789394c
1522b682c326
hex138ccb54a0

83966514336 has 36 divisors (see below), whose sum is σ = 238779775962. Its totient is φ = 27988838016.

The previous prime is 83966514329. The next prime is 83966514341. The reversal of 83966514336 is 63341566938.

83966514336 is a `hidden beast` number, since 8 + 3 + 96 + 6 + 514 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78599486736 + 5367027600 = 280356^2 + 73260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145774911 + ... + 145775486.

Almost surely, 283966514336 is an apocalyptic number.

It is an amenable number.

83966514336 is an abundant number, since it is smaller than the sum of its proper divisors (154813261626).

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

83966514336 is a wasteful number, since it uses less digits than its factorization.

83966514336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291550413 (or 291550402 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 83966514336 in words is "eighty-three billion, nine hundred sixty-six million, five hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 291550397 583100794 874651191 1166201588 1749302382 2332403176 2623953573 3498604764 4664806352 5247907146 6997209528 9329612704 10495814292 13994419056 20991628584 27988838112 41983257168 83966514336