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1378327781376 = 2133371331472
BaseRepresentation
bin10100000011101010101…
…111001110000000000000
311212202201000220000112000
4110003222233032000000
5140040303403001001
62533110043504000
7201403150556130
oct24035257160000
94782630800460
101378327781376
11491600110707
121a3167228000
139cc8b95bb80
144a9d61d0ac0
1525cc06cba86
hex140eabce000

1378327781376 has 1344 divisors, whose sum is σ = 5300941148160. Its totient is φ = 344303861760.

The previous prime is 1378327781317. The next prime is 1378327781419. The reversal of 1378327781376 is 6731877238731.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29326122985 + ... + 29326123031.

It is an arithmetic number, because the mean of its divisors is an integer number (3944152640).

Almost surely, 21378327781376 is an apocalyptic number.

1378327781376 is a gapful number since it is divisible by the number (16) 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 1378327781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650470574080).

1378327781376 is an abundant number, since it is smaller than the sum of its proper divisors (3922613366784).

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

1378327781376 is an equidigital number, since it uses as much as digits as its factorization.

1378327781376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 103 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 1378327781376 in words is "one trillion, three hundred seventy-eight billion, three hundred twenty-seven million, seven hundred eighty-one thousand, three hundred seventy-six".