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6049952246016 = 283372193113023
BaseRepresentation
bin101100000001001110101…
…0000010010100100000000
3210102100222120111120101000
41120002131100102210000
51243110300233333031
620511150521012000
71163044312412400
oct130023520224400
923370876446330
106049952246016
111a228523591a8
12818630924000
1334b67b24c813
1416cb6804c800
15a758e5483e6
hex5809d412900

6049952246016 has 864 divisors, whose sum is σ = 21984779980800. Its totient is φ = 1631775559680.

The previous prime is 6049952245993. The next prime is 6049952246017. The reversal of 6049952246016 is 6106422599406.

6049952246016 is a `hidden beast` number, since 6 + 0 + 4 + 9 + 9 + 5 + 2 + 24 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6049952246017) 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 95 ways as a sum of consecutive naturals, for example, 2001305881 + ... + 2001308903.

It is an arithmetic number, because the mean of its divisors is an integer number (25445347200).

Almost surely, 26049952246016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6049952246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992389990400).

6049952246016 is an abundant number, since it is smaller than the sum of its proper divisors (15934827734784).

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

6049952246016 is a wasteful number, since it uses less digits than its factorization.

6049952246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6049952246016 in words is "six trillion, forty-nine billion, nine hundred fifty-two million, two hundred forty-six thousand, sixteen".