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58544527104 = 2832717673187
BaseRepresentation
bin110110100001100001…
…101001011100000000
312121010001212010021200
4312201201221130000
51424344344331404
642521152221200
74141534161330
oct664141513400
9177101763250
1058544527104
112291294a7a8
12b41a53a800
1356a005821b
142b954610c0
1517c9aa1839
hexda1869700

58544527104 has 432 divisors, whose sum is σ = 207373840128. Its totient is φ = 15503228928.

The previous prime is 58544527103. The next prime is 58544527117. The reversal of 58544527104 is 40172544585.

58544527104 is a `hidden beast` number, since 5 + 85 + 44 + 527 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58544527104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58544527103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18368199 + ... + 18371385.

Almost surely, 258544527104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58544527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103686920064).

58544527104 is an abundant number, since it is smaller than the sum of its proper divisors (148829313024).

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

58544527104 is a wasteful number, since it uses less digits than its factorization.

58544527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 58544527104 in words is "fifty-eight billion, five hundred forty-four million, five hundred twenty-seven thousand, one hundred four".