Search a number
-
+
6652855440 = 2432573113179
BaseRepresentation
bin1100011001000101…
…01000010010010000
3122011122112001222100
412030202220102100
5102111112333230
63020053440400
7323602224000
oct61442502220
918148461870
106652855440
1129043aa840
121358040100
1382040c66a
144717d4000
1528e0e6660
hex18c8a8490

6652855440 has 960 divisors, whose sum is σ = 29712384000. Its totient is φ = 1320883200.

The previous prime is 6652855423. The next prime is 6652855477. The reversal of 6652855440 is 445582566.

6652855440 is a `hidden beast` number, since 6 + 6 + 52 + 8 + 554 + 40 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 84213321 + ... + 84213399.

It is an arithmetic number, because the mean of its divisors is an integer number (30950400).

Almost surely, 26652855440 is an apocalyptic number.

6652855440 is a gapful number since it is divisible by the number (60) 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 6652855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192000).

6652855440 is an abundant number, since it is smaller than the sum of its proper divisors (23059528560).

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

6652855440 is a wasteful number, since it uses less digits than its factorization.

6652855440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 6652855440 is about 81565.0380984402. The cubic root of 6652855440 is about 1880.7714730250.

The spelling of 6652855440 in words is "six billion, six hundred fifty-two million, eight hundred fifty-five thousand, four hundred forty".