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1058165428320 = 25385711131953
BaseRepresentation
bin11110110010111111001…
…00110001000001100000
310202011022100221100000000
433121133210301001200
5114314110322201240
62130040421300000
7136310216510160
oct17313744610140
93664270840000
101058165428320
11378846886110
121510b5564600
1378a2791cb50
14393033c45a0
151c7d2dd2430
hexf65f931060

1058165428320 has 3456 divisors, whose sum is σ = 5399506344960. Its totient is φ = 188654469120.

The previous prime is 1058165428283. The next prime is 1058165428321. The reversal of 1058165428320 is 238245618501.

1058165428320 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 1 + 6 + 542 + 83 + 20 = 666.

It is a super-2 number, since 2×10581654283202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058165428321) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 19965385414 + ... + 19965385466.

It is an arithmetic number, because the mean of its divisors is an integer number (1562357160).

Almost surely, 21058165428320 is an apocalyptic number.

1058165428320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058165428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699753172480).

1058165428320 is an abundant number, since it is smaller than the sum of its proper divisors (4341340916640).

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

1058165428320 is a wasteful number, since it uses less digits than its factorization.

1058165428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1058165428320 in words is "one trillion, fifty-eight billion, one hundred sixty-five million, four hundred twenty-eight thousand, three hundred twenty".