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11058820131840 = 210351379701047
BaseRepresentation
bin1010000011101101010100…
…0010111010110000000000
31110011012202012002222012220
42200323111002322300000
52422141430423204330
635304203555051040
72220654605101215
oct240732502726000
943135665088186
1011058820131840
113584023730618
1212a73345a0a80
13622ac45b81b0
142a336d459b0c
151429ea54b710
hexa0ed50bac00

11058820131840 has 352 divisors, whose sum is σ = 38574016481280. Its totient is φ = 2687709413376.

The previous prime is 11058820131839. The next prime is 11058820131841. The reversal of 11058820131840 is 4813102885011.

It is an interprime number because it is at equal distance from previous prime (11058820131839) and next prime (11058820131841).

It is a junction number, because it is equal to n+sod(n) for n = 11058820131792 and 11058820131801.

It is not an unprimeable number, because it can be changed into a prime (11058820131841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15424197 + ... + 16125243.

Almost surely, 211058820131840 is an apocalyptic number.

11058820131840 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 11058820131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287008240640).

11058820131840 is an abundant number, since it is smaller than the sum of its proper divisors (27515196349440).

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

11058820131840 is a wasteful number, since it uses less digits than its factorization.

11058820131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701167 (or 701149 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 11058820131840 in words is "eleven trillion, fifty-eight billion, eight hundred twenty million, one hundred thirty-one thousand, eight hundred forty".