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11075776673472 = 26327291631933011
BaseRepresentation
bin1010000100101100011110…
…1110111111011011000000
31110012211111220211112110100
42201023013232333123000
52422431142312022342
635320050324402400
72222125033241520
oct241130756773300
943184456745410
1011075776673472
113590235207295
1212aa687246400
136245975a3894
142a40db465680
1514318dedbe4c
hexa12c7bbf6c0

11075776673472 has 672 divisors, whose sum is σ = 37971596782080. Its totient is φ = 3019904778240.

The previous prime is 11075776673471. The next prime is 11075776673473. The reversal of 11075776673472 is 27437667757011.

11075776673472 is a `hidden beast` number, since 1 + 10 + 7 + 577 + 6 + 6 + 7 + 3 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11075776673471) and next prime (11075776673473).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11075776673471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3678436447 + ... + 3678439457.

Almost surely, 211075776673472 is an apocalyptic number.

11075776673472 is a gapful number since it is divisible by the number (12) 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 11075776673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985798391040).

11075776673472 is an abundant number, since it is smaller than the sum of its proper divisors (26895820108608).

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

11075776673472 is a wasteful number, since it uses less digits than its factorization.

11075776673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 63.

The spelling of 11075776673472 in words is "eleven trillion, seventy-five billion, seven hundred seventy-six million, six hundred seventy-three thousand, four hundred seventy-two".