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58205617424 = 2429472669003
BaseRepresentation
bin110110001101010100…
…110011110100010000
312120020110010201121022
4312031110303310100
51423201114224144
642423404215012
74130250404423
oct661524636420
9176213121538
1058205617424
112275960a959
12b344b3a468
135647a85c56
142b6243d9ba
1517a9e58cee
hexd8d533d10

58205617424 has 40 divisors (see below), whose sum is σ = 119144338560. Its totient is φ = 27501396608.

The previous prime is 58205617409. The next prime is 58205617493. The reversal of 58205617424 is 42471650285.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1312694 + ... + 1356309.

It is an arithmetic number, because the mean of its divisors is an integer number (2978608464).

Almost surely, 258205617424 is an apocalyptic number.

It is an amenable number.

58205617424 is an abundant number, since it is smaller than the sum of its proper divisors (60938721136).

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

58205617424 is a wasteful number, since it uses less digits than its factorization.

58205617424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669087 (or 2669081 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 58205617424 in words is "fifty-eight billion, two hundred five million, six hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 1363 2726 5452 10904 21808 2669003 5338006 10676012 21352024 42704048 77401087 125443141 154802174 250886282 309604348 501772564 619208696 1003545128 1238417392 2007090256 3637851089 7275702178 14551404356 29102808712 58205617424