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11020671458244 = 2234747711456159
BaseRepresentation
bin1010000001011111001100…
…1101010001101111000100
31110000120021112122120010000
42200113303031101233010
52421030313343130434
635234454312401300
72215134340525410
oct240276315215704
943016245576100
1011020671458244
1135699278034a8
12129ba686a6230
1361c324c56a56
142a1590ac5d40
15141a1635ab99
hexa05f3351bc4

11020671458244 has 240 divisors, whose sum is σ = 34100145192960. Its totient is φ = 3038361036480.

The previous prime is 11020671458227. The next prime is 11020671458249. The reversal of 11020671458244 is 44285417602011.

11020671458244 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 0 + 67 + 1 + 4 + 582 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11020671458244.

It is not an unprimeable number, because it can be changed into a prime (11020671458249) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6840237 + ... + 8296395.

It is an arithmetic number, because the mean of its divisors is an integer number (142083938304).

Almost surely, 211020671458244 is an apocalyptic number.

11020671458244 is a gapful number since it is divisible by the number (14) 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 11020671458244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050072596480).

11020671458244 is an abundant number, since it is smaller than the sum of its proper divisors (23079473734716).

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

11020671458244 is a wasteful number, since it uses less digits than its factorization.

11020671458244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456300 (or 1456289 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 11020671458244 in words is "eleven trillion, twenty billion, six hundred seventy-one million, four hundred fifty-eight thousand, two hundred forty-four".