Search a number
-
+
5565889728 = 26357294143
BaseRepresentation
bin1010010111100000…
…01011110011000000
3112100220012111100000
411023300023303000
542344331432403
62320144200000
7254633165520
oct51360136300
915326174300
105565889728
1123a6888373
1210b4009000
136a9173699
143ab2c9680
152289877a3
hex14bc0bcc0

5565889728 has 672 divisors, whose sum is σ = 20503042560. Its totient is φ = 1463132160.

The previous prime is 5565889717. The next prime is 5565889733. The reversal of 5565889728 is 8279885655.

5565889728 is a `hidden beast` number, since 556 + 5 + 8 + 8 + 9 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (48384000) is a multiple of the sum of its prime divisors (125).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129439275 + ... + 129439317.

It is an arithmetic number, because the mean of its divisors is an integer number (30510480).

Almost surely, 25565889728 is an apocalyptic number.

5565889728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5565889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251521280).

5565889728 is an abundant number, since it is smaller than the sum of its proper divisors (14937152832).

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

5565889728 is a wasteful number, since it uses less digits than its factorization.

5565889728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 63.

The square root of 5565889728 is about 74604.8907780180. The cubic root of 5565889728 is about 1772.1951047770.

The spelling of 5565889728 in words is "five billion, five hundred sixty-five million, eight hundred eighty-nine thousand, seven hundred twenty-eight".