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1380162182112 = 2533719109251439
BaseRepresentation
bin10100000101011000000…
…100111001101111100000
311212221102212122020021000
4110011120010321233200
5140103033004311422
62534012053232000
7201466463661210
oct24053004715740
94787385566230
101380162182112
1149236163107a
121a3599632600
13a01c1a04cac
144ab2baa0240
1525d7b77ccac
hex14158139be0

1380162182112 has 768 divisors, whose sum is σ = 4917749760000. Its totient is φ = 367835904000.

The previous prime is 1380162182059. The next prime is 1380162182129. The reversal of 1380162182112 is 2112812610831.

It is a happy number.

1380162182112 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 1 + 621 + 8 + 21 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3143877189 + ... + 3143877627.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320000).

Almost surely, 21380162182112 is an apocalyptic number.

1380162182112 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 1380162182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458874880000).

1380162182112 is an abundant number, since it is smaller than the sum of its proper divisors (3537587577888).

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

1380162182112 is a wasteful number, since it uses less digits than its factorization.

1380162182112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 1380162182112 its reverse (2112812610831), we get a palindrome (3492974792943).

The spelling of 1380162182112 in words is "one trillion, three hundred eighty billion, one hundred sixty-two million, one hundred eighty-two thousand, one hundred twelve".