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11026977444 = 2235721713619
BaseRepresentation
bin10100100010100001…
…00101001010100100
31001110111012111100000
422101100211022210
5140040401234234
65022110221300
7540154522200
oct122120451244
931414174300
1011026977444
1147494943aa
122178ab4830
1310696b1932
147686d3b00
1544811c899
hex2914252a4

11026977444 has 216 divisors, whose sum is σ = 35606057760. Its totient is φ = 2965019904.

The previous prime is 11026977443. The next prime is 11026977509. The reversal of 11026977444 is 44477962011.

11026977444 is a `hidden beast` number, since 110 + 2 + 6 + 97 + 7 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11026977444.

It is not an unprimeable number, because it can be changed into a prime (11026977443) 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, 802867 + ... + 816485.

It is an arithmetic number, because the mean of its divisors is an integer number (164842860).

Almost surely, 211026977444 is an apocalyptic number.

11026977444 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 11026977444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803028880).

11026977444 is an abundant number, since it is smaller than the sum of its proper divisors (24579080316).

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

11026977444 is a wasteful number, since it uses less digits than its factorization.

11026977444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13669 (or 13648 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11026977444 in words is "eleven billion, twenty-six million, nine hundred seventy-seven thousand, four hundred forty-four".