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7054824049 = 72134712
BaseRepresentation
bin1101001001000000…
…00001001001110001
3200012122220012020121
412210200001021301
5103422013332144
63124013210241
7336553005100
oct64440011161
920178805217
107054824049
112aa029a7a9
12144a790981
13885790000
144acd4c037
152b4548384
hex1a4801271

7054824049 has 45 divisors (see below), whose sum is σ = 9017475981. Its totient is φ = 5503221360.

The previous prime is 7054824019. The next prime is 7054824053. The reversal of 7054824049 is 9404284507.

The square root of 7054824049 is 83993.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3497894449 + 3556929600 = 59143^2 + 59640^2 .

It is not a de Polignac number, because 7054824049 - 219 = 7054299761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7054823996 and 7054824014.

It is not an unprimeable number, because it can be changed into a prime (7054824019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99363684 + ... + 99363754.

Almost surely, 27054824049 is an apocalyptic number.

7054824049 is the 83993-rd square number.

7054824049 is the 41997-th centered octagonal number.

It is an amenable number.

7054824049 is a deficient number, since it is larger than the sum of its proper divisors (1962651932).

7054824049 is an frugal number, since it uses more digits than its factorization.

7054824049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The cubic root of 7054824049 is about 1917.9122315850.

The spelling of 7054824049 in words is "seven billion, fifty-four million, eight hundred twenty-four thousand, forty-nine".

Divisors: 1 7 13 49 71 91 169 497 637 923 1183 2197 3479 5041 6461 8281 11999 15379 28561 35287 45227 65533 83993 107653 155987 199927 247009 458731 587951 851929 1091909 1399489 2027831 3211117 5963503 7643363 11075077 14194817 41744521 77525539 99363719 143976001 542678773 1007832007 7054824049