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1381783295760 = 243573767714673
BaseRepresentation
bin10100000110111000101…
…100111101011100010000
311220002121212001100010020
4110012320230331130100
5140114343010431020
62534441003303440
7201554610136110
oct24067054753420
94802555040106
101381783295760
1149301371381a
121a397051ab80
13a03bc82103a
144ac430cd040
1525e23c4cc40
hex141b8b3d710

1381783295760 has 640 divisors, whose sum is σ = 5175789871104. Its totient is φ = 298386063360.

The previous prime is 1381783295719. The next prime is 1381783295791. The reversal of 1381783295760 is 675923871831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1381783295694 and 1381783295703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 295692784 + ... + 295697456.

Almost surely, 21381783295760 is an apocalyptic number.

1381783295760 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 1381783295760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587894935552).

1381783295760 is an abundant number, since it is smaller than the sum of its proper divisors (3794006575344).

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

1381783295760 is a wasteful number, since it uses less digits than its factorization.

1381783295760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 1381783295760 in words is "one trillion, three hundred eighty-one billion, seven hundred eighty-three million, two hundred ninety-five thousand, seven hundred sixty".