Search a number
-
+
5677321104 = 243472132232
BaseRepresentation
bin1010100100110010…
…10000101110010000
3112122122212210110000
411102121100232100
543111343233404
62335204410000
7260455301400
oct52231205620
915578783400
105677321104
112453777414
1211253a6900
136c628a400
143bc014800
15233649339
hex152650b90

5677321104 has 675 divisors, whose sum is σ = 21637054593. Its totient is φ = 1432214784.

The previous prime is 5677321073. The next prime is 5677321157. The reversal of 5677321104 is 4011237765.

It is a happy number.

The square root of 5677321104 is 75348.

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

5677321104 is a `hidden beast` number, since 567 + 73 + 21 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 839840400 + 4837480704 = 28980^2 + 69552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 246840037 + ... + 246840059.

Almost surely, 25677321104 is an apocalyptic number.

5677321104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5677321104 is the 75348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5677321104

5677321104 is an abundant number, since it is smaller than the sum of its proper divisors (15959733489).

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

5677321104 is a wasteful number, since it uses less digits than its factorization.

5677321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 5677321104 is about 1783.9437349452.

Multiplying 5677321104 by its sum of digits (36), we get a square (204383559744 = 4520882).

5677321104 divided by its sum of digits (36) gives a square (157703364 = 125582).

Adding to 5677321104 its reverse (4011237765), we get a palindrome (9688558869).

It can be divided in two parts, 56773 and 21104, that added together give a palindrome (77877).

The spelling of 5677321104 in words is "five billion, six hundred seventy-seven million, three hundred twenty-one thousand, one hundred four".