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10742684867712 = 2732727110126539
BaseRepresentation
bin1001110001010011100111…
…1010100101110010000000
31102000222202011211121011200
42130110321322211302000
52402002004311231322
634503042111141200
72156063513511300
oct234247172456200
942028664747150
1010742684867712
113471a46601596
121256007514800
135cc052993825
14291d3d415600
151396965788ac
hex9c539ea5c80

10742684867712 has 576 divisors, whose sum is σ = 36829173700800. Its totient is φ = 2996034048000.

The previous prime is 10742684867687. The next prime is 10742684867729. The reversal of 10742684867712 is 21776848624701.

10742684867712 is a `hidden beast` number, since 1 + 0 + 7 + 426 + 84 + 8 + 67 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×107426848677122 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10742684867712.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404775339 + ... + 404801877.

It is an arithmetic number, because the mean of its divisors is an integer number (63939537675).

Almost surely, 210742684867712 is an apocalyptic number.

10742684867712 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 10742684867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414586850400).

10742684867712 is an abundant number, since it is smaller than the sum of its proper divisors (26086488833088).

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

10742684867712 is a wasteful number, since it uses less digits than its factorization.

10742684867712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26745 (or 26723 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 10742684867712 in words is "ten trillion, seven hundred forty-two billion, six hundred eighty-four million, eight hundred sixty-seven thousand, seven hundred twelve".