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1060056011060 = 2254173197241373
BaseRepresentation
bin11110110110100000100…
…00110001000100110100
310202100012010101212221222
433123100100301010310
5114331443314323220
62130552155125512
7136405114265204
oct17332020610464
93670163355858
101060056011060
11379626a89992
12151542743898
1378c69507167
143944251a404
151c893d7ee25
hexf6d0431134

1060056011060 has 192 divisors, whose sum is σ = 2339281353024. Its totient is φ = 403174195200.

The previous prime is 1060056011051. The next prime is 1060056011083. The reversal of 1060056011060 is 601106500601.

It can be written as a sum of positive squares in 32 ways, for example, as 367092997924 + 692963013136 = 605882^2 + 832444^2 .

It is a super-2 number, since 2×10600560110602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2841973034 + ... + 2841973406.

It is an arithmetic number, because the mean of its divisors is an integer number (12183757047).

Almost surely, 21060056011060 is an apocalyptic number.

1060056011060 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 1060056011060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169640676512).

1060056011060 is an abundant number, since it is smaller than the sum of its proper divisors (1279225341964).

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

1060056011060 is a wasteful number, since it uses less digits than its factorization.

1060056011060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 1060056011060 in words is "one trillion, sixty billion, fifty-six million, eleven thousand, sixty".