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10713751776 = 25327133113187
BaseRepresentation
bin10011111101001011…
…01110000011100000
31000122122210222111100
421332211232003200
5133420210024101
64531040514400
7526332246630
oct117645560340
930578728440
1010713751776
1145a86a7312
1220b001ba00
131019832cc0
14738c7a6c0
1542a899e86
hex27e96e0e0

10713751776 has 288 divisors, whose sum is σ = 38710683648. Its totient is φ = 2734248960.

The previous prime is 10713751771. The next prime is 10713751777. The reversal of 10713751776 is 67715731701.

10713751776 is a `hidden beast` number, since 107 + 1 + 375 + 177 + 6 = 666.

10713751776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×107137517762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10713751771) 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 47 ways as a sum of consecutive naturals, for example, 805855 + ... + 819041.

It is an arithmetic number, because the mean of its divisors is an integer number (134412096).

Almost surely, 210713751776 is an apocalyptic number.

10713751776 is a gapful number since it is divisible by the number (16) 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 10713751776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355341824).

10713751776 is an abundant number, since it is smaller than the sum of its proper divisors (27996931872).

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

10713751776 is a wasteful number, since it uses less digits than its factorization.

10713751776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13254 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The spelling of 10713751776 in words is "ten billion, seven hundred thirteen million, seven hundred fifty-one thousand, seven hundred seventy-six".