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1375466484672 = 26357173753379
BaseRepresentation
bin10100000001000000001…
…100001111001111000000
311212111022121212002100000
4110001000030033033000
5140013423410002142
62531514112200000
7201242225133210
oct24010014171700
94774277762300
101375466484672
11490371a77095
121a26a8b39000
139c923c1c6b7
144a8041b2240
1525ba43d514c
hex1404030f3c0

1375466484672 has 1344 divisors, whose sum is σ = 5190731320320. Its totient is φ = 352155009024.

The previous prime is 1375466484589. The next prime is 1375466484677. The reversal of 1375466484672 is 2764846645731.

1375466484672 is a `hidden beast` number, since 1 + 3 + 7 + 546 + 6 + 4 + 84 + 6 + 7 + 2 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375466484677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3629198979 + ... + 3629199357.

It is an arithmetic number, because the mean of its divisors is an integer number (3862151280).

Almost surely, 21375466484672 is an apocalyptic number.

1375466484672 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 1375466484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595365660160).

1375466484672 is an abundant number, since it is smaller than the sum of its proper divisors (3815264835648).

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

1375466484672 is a wasteful number, since it uses less digits than its factorization.

1375466484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 498 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 1375466484672 in words is "one trillion, three hundred seventy-five billion, four hundred sixty-six million, four hundred eighty-four thousand, six hundred seventy-two".