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1382332668600 = 2335213433409289
BaseRepresentation
bin10100000111011001011…
…100101001101010111000
311220011001010210100222110
4110013121130221222320
5140122004130343400
62535011310252320
7201604330546152
oct24073134515270
94804033710873
101382332668600
11493275832764
121a3aa44b70a0
13a04795a1c20
144ac96057ad2
1525e570b9e50
hex141d9729ab8

1382332668600 has 192 divisors, whose sum is σ = 4625533634400. Its totient is φ = 339479838720.

The previous prime is 1382332668469. The next prime is 1382332668631. The reversal of 1382332668600 is 68662332831.

It is a self number, because there is not a number n which added to its sum of digits gives 1382332668600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3172756 + ... + 3582044.

Almost surely, 21382332668600 is an apocalyptic number.

1382332668600 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 1382332668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312766817200).

1382332668600 is an abundant number, since it is smaller than the sum of its proper divisors (3243200965800).

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

1382332668600 is a wasteful number, since it uses less digits than its factorization.

1382332668600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409754 (or 409745 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 1382332668600 in words is "one trillion, three hundred eighty-two billion, three hundred thirty-two million, six hundred sixty-eight thousand, six hundred".