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58365093150 = 232527213375503
BaseRepresentation
bin110110010110110101…
…001010010100011110
312120122120012221011200
4312112311022110132
51424012430440100
642451302300330
74134225051300
oct662665122436
9176576187150
1058365093150
1122830634381
12b38a4276a6
135671b21ba0
142b796b3970
1517b8e5ae00
hexd96d4a51e

58365093150 has 432 divisors, whose sum is σ = 201786084864. Its totient is φ = 11979394560.

The previous prime is 58365093139. The next prime is 58365093191. The reversal of 58365093150 is 5139056385.

58365093150 is a `hidden beast` number, since 58 + 365 + 0 + 93 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 58365093096 and 58365093105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10603299 + ... + 10608801.

Almost surely, 258365093150 is an apocalyptic number.

58365093150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58365093150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100893042432).

58365093150 is an abundant number, since it is smaller than the sum of its proper divisors (143420991714).

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

58365093150 is a wasteful number, since it uses less digits than its factorization.

58365093150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 58365093150 in words is "fifty-eight billion, three hundred sixty-five million, ninety-three thousand, one hundred fifty".