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58165640544 = 2531155081099
BaseRepresentation
bin110110001010111100…
…010011110101100000
312120010122220200122010
4312022330103311200
51423110400444134
642415415312520
74126253533644
oct661274236540
9176118820563
1058165640544
1122738a95710
12b33367b740
13563c6c9aab
142b5add4c24
1517a66adce9
hexd8af13d60

58165640544 has 48 divisors (see below), whose sum is σ = 166565246400. Its totient is φ = 17625951360.

The previous prime is 58165640537. The next prime is 58165640567. The reversal of 58165640544 is 44504656185.

58165640544 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 (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 58165640493 and 58165640502.

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, 27539494 + ... + 27541605.

It is an arithmetic number, because the mean of its divisors is an integer number (3470109300).

Almost surely, 258165640544 is an apocalyptic number.

It is an amenable number.

58165640544 is an abundant number, since it is smaller than the sum of its proper divisors (108399605856).

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

58165640544 is a wasteful number, since it uses less digits than its factorization.

58165640544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55081123 (or 55081115 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 58165640544 in words is "fifty-eight billion, one hundred sixty-five million, six hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 55081099 110162198 165243297 220324396 330486594 440648792 605892089 660973188 881297584 1211784178 1321946376 1762595168 1817676267 2423568356 2643892752 3635352534 4847136712 5287785504 7270705068 9694273424 14541410136 19388546848 29082820272 58165640544