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55340635236345 = 3253498221428629
BaseRepresentation
bin11001001010100111111101…
…11001111010011111111001
321020221111212000120022020200
430211103332321322133321
524223200110110030340
6313411045321112413
714441141350053504
oct1445237671723771
9236844760508220
1055340635236345
11166a69169553a8
126259476928709
1324b57a4180494
14d94702bba13b
1565e80c1a5330
hex3254fee7a7f9

55340635236345 has 48 divisors (see below), whose sum is σ = 96210546978000. Its totient is φ = 29426786680320.

The previous prime is 55340635236307. The next prime is 55340635236409. The reversal of 55340635236345 is 54363253604355.

55340635236345 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 0 + 63 + 5 + 236 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3640070889 + 55336995165456 = 60333^2 + 7438884^2 .

It is not a de Polignac number, because 55340635236345 - 26 = 55340635236281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55340635236291 and 55340635236300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128896491 + ... + 129325119.

It is an arithmetic number, because the mean of its divisors is an integer number (2004386395375).

Almost surely, 255340635236345 is an apocalyptic number.

It is an amenable number.

55340635236345 is a deficient number, since it is larger than the sum of its proper divisors (40869911741655).

55340635236345 is a wasteful number, since it uses less digits than its factorization.

55340635236345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437210 (or 437207 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 54.

The spelling of 55340635236345 in words is "fifty-five trillion, three hundred forty billion, six hundred thirty-five million, two hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 349 1047 1745 3141 5235 8221 15705 24663 41105 73989 123315 369945 428629 1285887 2143145 2869129 3857661 6429435 8607387 14345645 19288305 25822161 43036935 129110805 149591521 448774563 747957605 1346323689 2243872815 3523759009 6731618445 10571277027 17618795045 31713831081 52856385135 158569155405 1229791894141 3689375682423 6148959470705 11068127047269 18446878412115 55340635236345