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82258924832 = 257272432
BaseRepresentation
bin100110010011100000…
…0111001010100100000
321212022202200100022122
41030213000321110200
52321431241043312
6101442250123412
75641311216200
oct1144700712440
9255282610278
1082258924832
1131982022807
1213b38420568
1379ac127c26
143da4b94400
152216979b72
hex1327039520

82258924832 has 54 divisors (see below), whose sum is σ = 188413640163. Its totient is φ = 35248957632.

The previous prime is 82258924823. The next prime is 82258924859. The reversal of 82258924832 is 23842985228.

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.

It can be written as a sum of positive squares in only one way, i.e., 41129462416 + 41129462416 = 202804^2 + 202804^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=202804.

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, 11353403 + ... + 11360645.

Almost surely, 282258924832 is an apocalyptic number.

It is an amenable number.

82258924832 is an abundant number, since it is smaller than the sum of its proper divisors (106154715331).

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

82258924832 is an frugal number, since it uses more digits than its factorization.

82258924832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14510 (or 7252 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 53.

The spelling of 82258924832 in words is "eighty-two billion, two hundred fifty-eight million, nine hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 7243 14486 28972 50701 57944 101402 115888 202804 231776 354907 405608 709814 811216 1419628 1622432 2839256 5678512 11357024 52461049 104922098 209844196 367227343 419688392 734454686 839376784 1468909372 1678753568 2570591401 2937818744 5141182802 5875637488 10282365604 11751274976 20564731208 41129462416 82258924832