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58417145450660 = 225107123122175249
BaseRepresentation
bin11010100100001010011010…
…01101000001000010100100
321122211121212022022011201002
431102011031031001002210
530124101303213410120
6324124244404052432
715206333215314113
oct1522051515010244
9248747768264632
1058417145450660
1117682632747557
126675773994118
132679936b13b39
14105d59518bc7a
156b486d827375
hex35214d3410a4

58417145450660 has 48 divisors (see below), whose sum is σ = 123923102688000. Its totient is φ = 23129670673920.

The previous prime is 58417145450627. The next prime is 58417145450681. The reversal of 58417145450660 is 6605454171485.

It is a happy number.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58417145450596 and 58417145450605.

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 15 ways as a sum of consecutive naturals, for example, 8453285 + ... + 13721964.

It is an arithmetic number, because the mean of its divisors is an integer number (2581731306000).

Almost surely, 258417145450660 is an apocalyptic number.

It is an amenable number.

58417145450660 is an abundant number, since it is smaller than the sum of its proper divisors (65505957237340).

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

58417145450660 is a wasteful number, since it uses less digits than its factorization.

58417145450660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176596 (or 22176594 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 56.

The spelling of 58417145450660 in words is "fifty-eight trillion, four hundred seventeen billion, one hundred forty-five million, four hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 1231 2140 2462 4924 6155 12310 24620 131717 263434 526868 658585 1317170 2634340 22175249 44350498 88700996 110876245 221752490 443504980 2372751643 4745503286 9491006572 11863758215 23727516430 27297731519 47455032860 54595463038 109190926076 136488657595 272977315190 545954630380 2920857272533 5841714545066 11683429090132 14604286362665 29208572725330 58417145450660