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1052383071744 = 29322331596189
BaseRepresentation
bin11110101000001101110…
…10110100111000000000
310201121101101102011222100
433110012322310320000
5114220240031243434
62123242541310400
7136014014341554
oct17240672647000
93647341364870
101052383071744
11376349899024
1214bb60b65400
1378315977c94
1438d1546b864
151c59543b699
hexf506eb4e00

1052383071744 has 960 divisors, whose sum is σ = 3419523993600. Its totient is φ = 310453862400.

The previous prime is 1052383071743. The next prime is 1052383071763. The reversal of 1052383071744 is 4471703832501.

1052383071744 is a `hidden beast` number, since 1 + 0 + 523 + 83 + 0 + 7 + 1 + 7 + 44 = 666.

It is a super-2 number, since 2×10523830717442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052383071744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052383071743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11824528852 + ... + 11824528940.

It is an arithmetic number, because the mean of its divisors is an integer number (3562004160).

Almost surely, 21052383071744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052383071744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709761996800).

1052383071744 is an abundant number, since it is smaller than the sum of its proper divisors (2367140921856).

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

1052383071744 is a wasteful number, since it uses less digits than its factorization.

1052383071744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1052383071744 in words is "one trillion, fifty-two billion, three hundred eighty-three million, seventy-one thousand, seven hundred forty-four".