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82142674881 = 32347911632137
BaseRepresentation
bin100110010000000010…
…1011011111111000001
321212000122221020100220
41030200011123333001
52321212011044011
6101422534333253
75635400134101
oct1144005337701
9255018836326
1082142674881
1131922442473
1213b054ba229
137991014b87
143d93573201
15220b665506
hex132015bfc1

82142674881 has 32 divisors (see below), whose sum is σ = 114676162560. Its totient is φ = 52202097024.

The previous prime is 82142674849. The next prime is 82142674937. The reversal of 82142674881 is 18847624128.

It is a happy number.

It is not a de Polignac number, because 82142674881 - 25 = 82142674849 is a prime.

It is a super-2 number, since 2×821426748812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82142664881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38437245 + ... + 38439381.

It is an arithmetic number, because the mean of its divisors is an integer number (3583630080).

Almost surely, 282142674881 is an apocalyptic number.

It is an amenable number.

82142674881 is a deficient number, since it is larger than the sum of its proper divisors (32533487679).

82142674881 is a wasteful number, since it uses less digits than its factorization.

82142674881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805.

The product of its digits is 1376256, while the sum is 51.

The spelling of 82142674881 in words is "eighty-two billion, one hundred forty-two million, six hundred seventy-four thousand, eight hundred eighty-one".

Divisors: 1 3 23 69 479 1163 1437 2137 3489 6411 11017 26749 33051 49151 80247 147453 557077 1023623 1671231 2485331 3070869 7455993 12812771 23543329 38438313 57162613 70629987 171487839 1190473549 3571420647 27380891627 82142674881