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1385540462592 = 211321113312547
BaseRepresentation
bin10100001010011000101…
…001011010100000000000
311220110022200211012002100
4110022120221122200000
5140200041324300332
62540301500350400
7202046661420216
oct24123051324000
94813280735070
101385540462592
11494671519880
121a463a845400
13a086b03c190
144b0bc0b0cb6
1526093a0767c
hex14298a5a800

1385540462592 has 864 divisors, whose sum is σ = 4866719850720. Its totient is φ = 374376038400.

The previous prime is 1385540462569. The next prime is 1385540462629. The reversal of 1385540462592 is 2952640455831.

1385540462592 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 5 + 4 + 0 + 4 + 625 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2532980463 + ... + 2532981009.

It is an arithmetic number, because the mean of its divisors is an integer number (5632777605).

Almost surely, 21385540462592 is an apocalyptic number.

1385540462592 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 1385540462592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433359925360).

1385540462592 is an abundant number, since it is smaller than the sum of its proper divisors (3481179388128).

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

1385540462592 is a wasteful number, since it uses less digits than its factorization.

1385540462592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 1385540462592 in words is "one trillion, three hundred eighty-five billion, five hundred forty million, four hundred sixty-two thousand, five hundred ninety-two".