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1383719025546 = 233112131943127157
BaseRepresentation
bin10100001000101100000…
…101001011101110001010
311220021121202110121012000
4110020230011023232022
5140132324032304141
62535401032531430
7201653563440144
oct24105405135612
94807552417160
101383719025546
11493917353200
121a4210850b76
13a063a884890
144ad88217c94
1525ed8b675b6
hex1422c14bb8a

1383719025546 has 768 divisors, whose sum is σ = 3976588492800. Its totient is φ = 353072079360.

The previous prime is 1383719025541. The next prime is 1383719025547. The reversal of 1383719025546 is 6455209173831.

It is a happy number.

1383719025546 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 7 + 1 + 90 + 2 + 5 + 546 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1383719025492 and 1383719025501.

It is not an unprimeable number, because it can be changed into a prime (1383719025541) 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 383 ways as a sum of consecutive naturals, for example, 8813496900 + ... + 8813497056.

It is an arithmetic number, because the mean of its divisors is an integer number (5177849600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1383719025546 = 2767438051092, but 3⋅1383719025546 = 4151157076638 is not.

Almost surely, 21383719025546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383719025546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988294246400).

1383719025546 is an abundant number, since it is smaller than the sum of its proper divisors (2592869467254).

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

1383719025546 is a wasteful number, since it uses less digits than its factorization.

1383719025546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1383719025546 in words is "one trillion, three hundred eighty-three billion, seven hundred nineteen million, twenty-five thousand, five hundred forty-six".