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1243375567680 = 263531411110163
BaseRepresentation
bin10010000101111110111…
…101011000001101000000
311101212100222111020211010
4102011332331120031000
5130332413121131210
62351110541320520
7155555001642021
oct22057675301500
94355328436733
101243375567680
1143a349103094
12180b83b66140
1390332aba39c
1444273142c48
1522522c00920
hex1217ef58340

1243375567680 has 224 divisors, whose sum is σ = 4076455477248. Its totient is φ = 320761497600.

The previous prime is 1243375567673. The next prime is 1243375567729. The reversal of 1243375567680 is 867655733421.

It is a super-3 number, since 3×12433755676803 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1243375567680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122338279 + ... + 122348441.

It is an arithmetic number, because the mean of its divisors is an integer number (18198461952).

Almost surely, 21243375567680 is an apocalyptic number.

1243375567680 is a gapful number since it is divisible by the number (10) 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 1243375567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038227738624).

1243375567680 is an abundant number, since it is smaller than the sum of its proper divisors (2833079909568).

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

1243375567680 is a wasteful number, since it uses less digits than its factorization.

1243375567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 1243375567680 in words is "one trillion, two hundred forty-three billion, three hundred seventy-five million, five hundred sixty-seven thousand, six hundred eighty".