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5459966496 = 253218958217
BaseRepresentation
bin1010001010111000…
…00111101000100000
3112002111220000222100
411011130013220200
542140222411441
62301442010400
7252205643445
oct50534075040
915074800870
105459966496
112352010706
121084646a00
13690237b0a
1439b1d59cc
1521e512cb6
hex145707a20

5459966496 has 36 divisors (see below), whose sum is σ = 15526780542. Its totient is φ = 1819988736.

The previous prime is 5459966443. The next prime is 5459966513. The reversal of 5459966496 is 6946699545.

5459966496 is a `hidden beast` number, since 5 + 4 + 59 + 96 + 6 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3741034896 + 1718931600 = 61164^2 + 41460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×54599664962 = 59622468274885036032, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 9478821 + ... + 9479396.

Almost surely, 25459966496 is an apocalyptic number.

It is an amenable number.

5459966496 is an abundant number, since it is smaller than the sum of its proper divisors (10066814046).

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

5459966496 is a wasteful number, since it uses less digits than its factorization.

5459966496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18958233 (or 18958222 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The square root of 5459966496 is about 73891.5860974712. The cubic root of 5459966496 is about 1760.8809398401.

The spelling of 5459966496 in words is "five billion, four hundred fifty-nine million, nine hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18958217 37916434 56874651 75832868 113749302 151665736 170623953 227498604 303331472 341247906 454997208 606662944 682495812 909994416 1364991624 1819988832 2729983248 5459966496