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6873090144 = 25371594689
BaseRepresentation
bin1100110011010101…
…10000100001100000
3122201222221011012020
412121222300201200
5103034002341034
63054002101440
7332215205454
oct63152604140
918658834166
106873090144
112a07753398
1213b994a880
13856c2cb5b
14492b62664
152a35eb249
hex199ab0860

6873090144 has 24 divisors (see below), whose sum is σ = 18041861880. Its totient is φ = 2291030016.

The previous prime is 6873090137. The next prime is 6873090151. The reversal of 6873090144 is 4410903786.

It is an interprime number because it is at equal distance from previous prime (6873090137) and next prime (6873090151).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 6873090096 and 6873090105.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 35797249 + ... + 35797440.

It is an arithmetic number, because the mean of its divisors is an integer number (751744245).

Almost surely, 26873090144 is an apocalyptic number.

It is an amenable number.

6873090144 is an abundant number, since it is smaller than the sum of its proper divisors (11168771736).

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

6873090144 is a wasteful number, since it uses less digits than its factorization.

6873090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71594702 (or 71594694 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6873090144 is about 82904.1020939254. The cubic root of 6873090144 is about 1901.3001391265.

The spelling of 6873090144 in words is "six billion, eight hundred seventy-three million, ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 71594689 143189378 214784067 286378756 429568134 572757512 859136268 1145515024 1718272536 2291030048 3436545072 6873090144