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1348849485760 = 265713134913171
BaseRepresentation
bin10011101000001101101…
…100011100011111000000
311202221121122021110000111
4103220031230130133000
5134044420432021020
62511353005401104
7166310514312250
oct23501554343700
94687548243014
101348849485760
11480053408927
121994bab69194
139a2716aacba
14493db18b960
15251477a6d5a
hex13a0db1c7c0

1348849485760 has 224 divisors, whose sum is σ = 3709698854400. Its totient is φ = 457582694400.

The previous prime is 1348849485721. The next prime is 1348849485779. The reversal of 1348849485760 is 675849488431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 102403975 + ... + 102417145.

It is an arithmetic number, because the mean of its divisors is an integer number (16561155600).

Almost surely, 21348849485760 is an apocalyptic number.

1348849485760 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 1348849485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854849427200).

1348849485760 is an abundant number, since it is smaller than the sum of its proper divisors (2360849368640).

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

1348849485760 is a wasteful number, since it uses less digits than its factorization.

1348849485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13665 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 67.

The spelling of 1348849485760 in words is "one trillion, three hundred forty-eight billion, eight hundred forty-nine million, four hundred eighty-five thousand, seven hundred sixty".