Search a number
-
+
5533447680 = 29325376491
BaseRepresentation
bin1010010011101000…
…11011011000000000
3112021122011021012200
411021310123120000
542313030311210
62313024553200
7254060346345
oct51164333000
915248137180
105533447680
11238a53a162
1210a5182800
136a2524cc7
143a6c827cc
15225bca0c0
hex149d1b600

5533447680 has 240 divisors, whose sum is σ = 19684860624. Its totient is φ = 1435484160.

The previous prime is 5533447649. The next prime is 5533447681. The reversal of 5533447680 is 867443355.

5533447680 is a `hidden beast` number, since 5 + 533 + 44 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5533447681) 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 23 ways as a sum of consecutive naturals, for example, 849235 + ... + 855725.

Almost surely, 25533447680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5533447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9842430312).

5533447680 is an abundant number, since it is smaller than the sum of its proper divisors (14151412944).

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

5533447680 is a wasteful number, since it uses less digits than its factorization.

5533447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5533447680 is about 74387.1472769322. The cubic root of 5533447680 is about 1768.7451797577.

The spelling of 5533447680 in words is "five billion, five hundred thirty-three million, four hundred forty-seven thousand, six hundred eighty".