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82051384608 = 2532168792
BaseRepresentation
bin100110001101010100…
…1001100010100100000
321211210022011012122200
41030122221030110200
52321020123301413
6101405513533200
75633211155514
oct1143251142440
9254708135580
1082051384608
113188595a766
1213a9aa14200
13797813086b
143d853ac144
152203631573
hex131aa4c520

82051384608 has 54 divisors (see below), whose sum is σ = 233347449699. Its totient is φ = 27348841152.

The previous prime is 82051384589. The next prime is 82051384621. The reversal of 82051384608 is 80648315028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82051384608 is a `hidden beast` number, since 8 + 2 + 0 + 5 + 1 + 38 + 4 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41025692304 + 41025692304 = 202548^2 + 202548^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=202548.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4852713 + ... + 4869591.

Almost surely, 282051384608 is an apocalyptic number.

It is an amenable number.

82051384608 is an abundant number, since it is smaller than the sum of its proper divisors (151296065091).

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

82051384608 is an frugal number, since it uses more digits than its factorization.

82051384608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33774 (or 16884 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82051384608 in words is "eighty-two billion, fifty-one million, three hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16879 33758 50637 67516 101274 135032 151911 202548 270064 303822 405096 540128 607644 810192 1215288 1620384 2430576 4861152 284900641 569801282 854701923 1139602564 1709403846 2279205128 2564105769 3418807692 4558410256 5128211538 6837615384 9116820512 10256423076 13675230768 20512846152 27350461536 41025692304 82051384608