Search a number
-
+
27168002976 = 253283000031
BaseRepresentation
bin11001010011010101…
…101101001110100000
32121010101101112210110
4121103111231032200
5421120002043401
620251504331320
71651151133522
oct312325551640
977111345713
1027168002976
11105816a1824
125322613b40
13273c743c0a
14145a295a12
15a901bd9d6
hex65356d3a0

27168002976 has 24 divisors (see below), whose sum is σ = 71316008064. Its totient is φ = 9056000960.

The previous prime is 27168002963. The next prime is 27168002977. The reversal of 27168002976 is 67920086172.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27168002977) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 141499920 + ... + 141500111.

It is an arithmetic number, because the mean of its divisors is an integer number (2971500336).

Almost surely, 227168002976 is an apocalyptic number.

It is an amenable number.

27168002976 is an abundant number, since it is smaller than the sum of its proper divisors (44148005088).

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

27168002976 is a wasteful number, since it uses less digits than its factorization.

27168002976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283000044 (or 283000036 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 27168002976 in words is "twenty-seven billion, one hundred sixty-eight million, two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 283000031 566000062 849000093 1132000124 1698000186 2264000248 3396000372 4528000496 6792000744 9056000992 13584001488 27168002976