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11026124928 = 27327131723269
BaseRepresentation
bin10100100010011010…
…10101000010000000
31001110102121011220100
422101031111002000
5140040141444203
65022040042400
7540144341550
oct122115250200
931412534810
1011026124928
114748a61945
122178763400
1310694738a0
14768551160
15447eeeea3
hex291355080

11026124928 has 768 divisors, whose sum is σ = 43306099200. Its totient is φ = 2608201728.

The previous prime is 11026124917. The next prime is 11026124939. The reversal of 11026124928 is 82942162011.

11026124928 is a `hidden beast` number, since 1 + 10 + 2 + 612 + 4 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (11026124917) and next prime (11026124939).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11026124892 and 11026124901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40989178 + ... + 40989446.

It is an arithmetic number, because the mean of its divisors is an integer number (56388150).

Almost surely, 211026124928 is an apocalyptic number.

11026124928 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 11026124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

11026124928 is an abundant number, since it is smaller than the sum of its proper divisors (32279974272).

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

11026124928 is a wasteful number, since it uses less digits than its factorization.

11026124928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 11026124928 its reverse (82942162011), we get a palindrome (93968286939).

The spelling of 11026124928 in words is "eleven billion, twenty-six million, one hundred twenty-four thousand, nine hundred twenty-eight".