Search a number
-
+
6050876544 = 27325252497
BaseRepresentation
bin1011010001010100…
…10000110010000000
3120121200210101011200
411220222100302000
544343011022134
62440231141200
7302642413326
oct55052206200
916550711150
106050876544
112625620119
12120a514800
137557a012b
14415893d16
15256337499
hex168a90c80

6050876544 has 48 divisors (see below), whose sum is σ = 17412030870. Its totient is φ = 2016958464.

The previous prime is 6050876543. The next prime is 6050876563. The reversal of 6050876544 is 4456780506.

It can be written as a sum of positive squares in only one way, i.e., 5668282944 + 382593600 = 75288^2 + 19560^2 .

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

It is a super-2 number, since 2×60508765442 = 73226213901458767872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6050876544.

It is not an unprimeable number, because it can be changed into a prime (6050876543) 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 5 ways as a sum of consecutive naturals, for example, 2625097 + ... + 2627400.

Almost surely, 26050876544 is an apocalyptic number.

6050876544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6050876544 is an abundant number, since it is smaller than the sum of its proper divisors (11361154326).

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

6050876544 is a wasteful number, since it uses less digits than its factorization.

6050876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252517 (or 5252502 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6050876544 is about 77787.3803646838. The cubic root of 6050876544 is about 1822.2421892540.

The spelling of 6050876544 in words is "six billion, fifty million, eight hundred seventy-six thousand, five hundred forty-four".

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 5252497 10504994 15757491 21009988 31514982 42019976 47272473 63029964 84039952 94544946 126059928 168079904 189089892 252119856 336159808 378179784 504239712 672319616 756359568 1008479424 1512719136 2016958848 3025438272 6050876544