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6490369152 = 27325634001
BaseRepresentation
bin1100000101101101…
…10010110010000000
3121202022202220200200
412002312302302000
5101243013303102
62552011045200
7316560141021
oct60266626200
917668686620
106490369152
11283070a453
121311740800
137c585b327
14457db8c48
1527ebec51c
hex182db2c80

6490369152 has 48 divisors (see below), whose sum is σ = 18676716630. Its totient is φ = 2163456000.

The previous prime is 6490369121. The next prime is 6490369153. The reversal of 6490369152 is 2519630946.

6490369152 is a `hidden beast` number, since 6 + 490 + 3 + 6 + 9 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6383370816 + 106998336 = 79896^2 + 10344^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 6490369098 and 6490369107.

It is not an unprimeable number, because it can be changed into a prime (6490369153) 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 5 ways as a sum of consecutive naturals, for example, 2815849 + ... + 2818152.

Almost surely, 26490369152 is an apocalyptic number.

It is an amenable number.

6490369152 is an abundant number, since it is smaller than the sum of its proper divisors (12186347478).

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

6490369152 is a wasteful number, since it uses less digits than its factorization.

6490369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634021 (or 5634006 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6490369152 is about 80562.8273585281. The cubic root of 6490369152 is about 1865.3333985058. Note that the first 4 decimals are identical.

The spelling of 6490369152 in words is "six billion, four hundred ninety million, three hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 5634001 11268002 16902003 22536004 33804006 45072008 50706009 67608012 90144016 101412018 135216024 180288032 202824036 270432048 360576064 405648072 540864096 721152128 811296144 1081728192 1622592288 2163456384 3245184576 6490369152