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83342493481 = 1325324192
BaseRepresentation
bin100110110011110011…
…0011000011100101001
321222010021121100001211
41031213212120130221
52331141134242411
6102141554513121
76010206335362
oct1154746303451
9258107540054
1083342493481
1132388734995
121419b2957a1
137b22774900
144068a56b69
15227bb67221
hex1367998729

83342493481 has 27 divisors (see below), whose sum is σ = 92201549349. Its totient is φ = 75299850912.

The previous prime is 83342493469. The next prime is 83342493491. The reversal of 83342493481 is 18439424338.

The square root of 83342493481 is 288691.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2163087081 + 81179406400 = 46509^2 + 284920^2 .

It is not a de Polignac number, because 83342493481 - 211 = 83342491433 is a prime.

It is a super-2 number, since 2×833424934812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83342493431) 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 26 ways as a sum of consecutive naturals, for example, 198907890 + ... + 198908308.

Almost surely, 283342493481 is an apocalyptic number.

83342493481 is the 288691-st square number.

83342493481 is the 144346-th centered octagonal number.

It is an amenable number.

83342493481 is a deficient number, since it is larger than the sum of its proper divisors (8859055868).

83342493481 is an frugal number, since it uses more digits than its factorization.

83342493481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

Multiplying 83342493481 by its sum of digits (49), we get a square (4083782180569 = 20208372).

The spelling of 83342493481 in words is "eighty-three billion, three hundred forty-two million, four hundred ninety-three thousand, four hundred eighty-one".

Divisors: 1 13 53 169 419 689 2809 5447 8957 22207 36517 70811 175561 288691 474721 1176971 2282293 3752983 9304733 15300623 29669809 120961529 198908099 493150849 1572499877 6410961037 83342493481