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1058038542288 = 2432721312790823
BaseRepresentation
bin11110110010110000000…
…00101110111111010000
310202010222112011212002100
433121120000232333100
5114313330331323123
62130020045520400
7136304116136100
oct17313000567720
93663875155070
101058038542288
113787911a0822
1215107ab73100
1378a07554860
14392d05d5200
151c7c6bbb643
hexf65802efd0

1058038542288 has 360 divisors, whose sum is σ = 3738682042368. Its totient is φ = 276842893824.

The previous prime is 1058038542283. The next prime is 1058038542293. The reversal of 1058038542288 is 8822458308501.

1058038542288 is a `hidden beast` number, since 1 + 0 + 580 + 3 + 8 + 54 + 2 + 2 + 8 + 8 = 666.

1058038542288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1058038542283) and next prime (1058038542293).

It is a super-2 number, since 2×10580385422882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058038542283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11604045 + ... + 11694867.

Almost surely, 21058038542288 is an apocalyptic number.

1058038542288 is a gapful number since it is divisible by the number (18) 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 1058038542288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869341021184).

1058038542288 is an abundant number, since it is smaller than the sum of its proper divisors (2680643500080).

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

1058038542288 is a wasteful number, since it uses less digits than its factorization.

1058038542288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90991 (or 90975 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 1058038542288 in words is "one trillion, fifty-eight billion, thirty-eight million, five hundred forty-two thousand, two hundred eighty-eight".