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1382465962512 = 2433196710923063
BaseRepresentation
bin10100000111100001011…
…001001000001000010000
311220011101102121101212000
4110013201121020020100
5140122242241300022
62535032431234000
7201610536536145
oct24074131101020
94804342541760
101382465962512
11493333aa4418
121a3b21078900
13a049b0a1a6b
144aca9a343cc
1525e63b496ac
hex141e1648210

1382465962512 has 320 divisors, whose sum is σ = 4278464256000. Its totient is φ = 426088346112.

The previous prime is 1382465962511. The next prime is 1382465962513. The reversal of 1382465962512 is 2152695642831.

1382465962512 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 6 + 5 + 9 + 625 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1382465962511) and next prime (1382465962513).

It is a super-2 number, since 2×13824659625122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1382465962511) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 59931493 + ... + 59954555.

It is an arithmetic number, because the mean of its divisors is an integer number (13370200800).

Almost surely, 21382465962512 is an apocalyptic number.

1382465962512 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 1382465962512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139232128000).

1382465962512 is an abundant number, since it is smaller than the sum of its proper divisors (2895998293488).

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

1382465962512 is a wasteful number, since it uses less digits than its factorization.

1382465962512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23275 (or 23263 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 1382465962512 in words is "one trillion, three hundred eighty-two billion, four hundred sixty-five million, nine hundred sixty-two thousand, five hundred twelve".