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58082245680 = 2435242009357
BaseRepresentation
bin110110000101111110…
…001011110000110000
312112220211222210101110
4312011332023300300
51422423023330210
642403240033320
74124221641144
oct660576136060
9175824883343
1058082245680
11226a5a05938
12b30b762840
13562834b414
142b4dcc7224
15179e1d9420
hexd85f8bc30

58082245680 has 40 divisors (see below), whose sum is σ = 180054962352. Its totient is φ = 15488598784.

The previous prime is 58082245649. The next prime is 58082245691. The reversal of 58082245680 is 8654228085.

It is a happy number.

58082245680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121004439 + ... + 121004918.

Almost surely, 258082245680 is an apocalyptic number.

It is an amenable number.

58082245680 is an abundant number, since it is smaller than the sum of its proper divisors (121972716672).

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

58082245680 is a wasteful number, since it uses less digits than its factorization.

58082245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242009373 (or 242009367 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 58082245680 in words is "fifty-eight billion, eighty-two million, two hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 242009357 484018714 726028071 968037428 1210046785 1452056142 1936074856 2420093570 2904112284 3630140355 3872149712 4840187140 5808224568 7260280710 9680374280 11616449136 14520561420 19360748560 29041122840 58082245680