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58580668240 = 245900181353
BaseRepresentation
bin110110100011101011…
…100000111101010000
312121012120212021121021
4312203223200331100
51424433122340430
642524523005224
74142453315143
oct664353407520
9177176767537
1058580668240
1122931295106
12b42a669814
1356a76a0503
142b9a18c05a
1517ccd4007a
hexda3ae0f50

58580668240 has 40 divisors (see below), whose sum is σ = 136216859688. Its totient is φ = 23429376000.

The previous prime is 58580668229. The next prime is 58580668261. The reversal of 58580668240 is 4286608585.

58580668240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5079127824 + 53501540416 = 71268^2 + 231304^2 .

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

It is a congruent number.

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, 679404 + ... + 760756.

Almost surely, 258580668240 is an apocalyptic number.

It is an amenable number.

58580668240 is an abundant number, since it is smaller than the sum of its proper divisors (77636191448).

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

58580668240 is a wasteful number, since it uses less digits than its factorization.

58580668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90367 (or 90361 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 58580668240 in words is "fifty-eight billion, five hundred eighty million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9001 18002 36004 45005 72008 81353 90010 144016 162706 180020 325412 360040 406765 650824 720080 813530 1301648 1627060 3254120 6508240 732258353 1464516706 2929033412 3661291765 5858066824 7322583530 11716133648 14645167060 29290334120 58580668240