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132052510435344 = 24319287950293303
BaseRepresentation
bin11110000001100111011110…
…111110011110100000010000
3122022120002121111111122020120
4132001213132332132200100
5114302022020132412334
61144504030311510240
736546323211433002
oct3601473676364020
9568502544448216
10132052510435344
11390921785a2314
12129887b2688380
13588b662a00475
142487538948372
15103eec7508949
hex7819def9e810

132052510435344 has 80 divisors (see below), whose sum is σ = 359214894489600. Its totient is φ = 41686307468928.

The previous prime is 132052510435331. The next prime is 132052510435361. The reversal of 132052510435344 is 443534015250231.

132052510435344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132052510435296 and 132052510435305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22521004 + ... + 27772299.

It is an arithmetic number, because the mean of its divisors is an integer number (4490186181120).

Almost surely, 2132052510435344 is an apocalyptic number.

It is an amenable number.

132052510435344 is an abundant number, since it is smaller than the sum of its proper divisors (227162384054256).

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

132052510435344 is a wasteful number, since it uses less digits than its factorization.

132052510435344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50296212 (or 50296206 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 132052510435344 its reverse (443534015250231), we get a palindrome (575586525685575).

The spelling of 132052510435344 in words is "one hundred thirty-two trillion, fifty-two billion, five hundred ten million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2879 5758 8637 11516 17274 23032 34548 46064 54701 69096 109402 138192 164103 218804 328206 437608 656412 875216 1312824 2625648 50293303 100586606 150879909 201173212 301759818 402346424 603519636 804692848 955572757 1207039272 1911145514 2414078544 2866718271 3822291028 5733436542 7644582056 11466873084 15289164112 22933746168 45867492336 144794419337 289588838674 434383258011 579177677348 868766516022 1158355354696 1737533032044 2316710709392 2751093967403 3475066064088 5502187934806 6950132128176 8253281902209 11004375869612 16506563804418 22008751739224 33013127608836 44017503478448 66026255217672 132052510435344