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6454994546 = 2711132248021
BaseRepresentation
bin1100000001011111…
…10110011001110010
3121122212012200212002
412000233312121302
5101204434311141
62544304534002
7315650356040
oct60057663162
917585180762
106454994546
112812748a40
121301921302
137bb423c00
1445340b390
1527ba60e9b
hex180bf6672

6454994546 has 48 divisors (see below), whose sum is σ = 13071751488. Its totient is φ = 2321467200.

The previous prime is 6454994509. The next prime is 6454994569.

6454994546 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64549945462 = 83333909177779492232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6454994491 and 6454994500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97985 + ... + 150036.

It is an arithmetic number, because the mean of its divisors is an integer number (272328156).

Almost surely, 26454994546 is an apocalyptic number.

6454994546 is an abundant number, since it is smaller than the sum of its proper divisors (6616756942).

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

6454994546 is a wasteful number, since it uses less digits than its factorization.

6454994546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248067 (or 248054 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 56.

The square root of 6454994546 is about 80342.9806890434. The cubic root of 6454994546 is about 1861.9383333235.

The spelling of 6454994546 in words is "six billion, four hundred fifty-four million, nine hundred ninety-four thousand, five hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1183 1859 2002 2366 3718 13013 26026 248021 496042 1736147 2728231 3224273 3472294 5456462 6448546 19097617 22569911 35467003 38195234 41915549 45139822 70934006 83831098 248269021 293408843 461071039 496538042 586817686 922142078 3227497273 6454994546