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58345359345 = 33571341115837
BaseRepresentation
bin110110010101101001…
…111000011111110001
312120121012002100111000
4312111221320133301
51423442402444340
642445315312213
74133565241320
oct662551703761
9176535070430
1058345359345
1122820486049
12b3838ab669
13566aa02990
142b76c180b7
1517b735dd30
hexd95a787f1

58345359345 has 128 divisors (see below), whose sum is σ = 130776468480. Its totient is φ = 24019752960.

The previous prime is 58345359343. The next prime is 58345359349. The reversal of 58345359345 is 54395354385.

58345359345 is a `hidden beast` number, since 5 + 8 + 3 + 4 + 5 + 3 + 593 + 45 = 666.

It is not a de Polignac number, because 58345359345 - 21 = 58345359343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58345359291 and 58345359300.

It is not an unprimeable number, because it can be changed into a prime (58345359343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445767 + ... + 561603.

It is an arithmetic number, because the mean of its divisors is an integer number (1021691160).

Almost surely, 258345359345 is an apocalyptic number.

It is an amenable number.

58345359345 is an abundant number, since it is smaller than the sum of its proper divisors (72431109135).

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

58345359345 is a wasteful number, since it uses less digits than its factorization.

58345359345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115912 (or 115906 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 58345359345 in words is "fifty-eight billion, three hundred forty-five million, three hundred fifty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 41 45 63 65 91 105 117 123 135 189 195 205 273 287 315 351 369 455 533 585 615 819 861 945 1107 1365 1435 1599 1755 1845 2457 2583 2665 3731 4095 4305 4797 5535 7749 7995 11193 12285 12915 14391 18655 23985 33579 38745 55965 71955 100737 115837 167895 347511 503685 579185 810859 1042533 1505881 1737555 2432577 3127599 4054295 4517643 4749317 5212665 7297731 7529405 10541167 12162885 13552929 14247951 15637995 21893193 22588215 23746585 31623501 33245219 36488655 40658787 42743853 52705835 61741121 67764645 71239755 94870503 99735657 109465965 128231559 158117505 166226095 185223363 203293935 213719265 284611509 299206971 308705605 432187847 474352515 498678285 555670089 641157795 897620913 926116815 1296563541 1423057545 1496034855 1667010267 2160939235 2778350445 3889690623 4488104565 6482817705 8335051335 11669071869 19448453115 58345359345