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6652542960 = 243557193183
BaseRepresentation
bin1100011001000010…
…11011111111110000
3122011121221012100000
412030201123333300
5102111022333320
63020043030000
7323566452660
oct61441337760
918147835300
106652542960
112904206a98
121357b0b300
1382033036b
144717521a0
1528e083c90
hex18c85bff0

6652542960 has 960 divisors, whose sum is σ = 29118136320. Its totient is φ = 1377285120.

The previous prime is 6652542937. The next prime is 6652542971. The reversal of 6652542960 is 692452566.

It is a happy number.

6652542960 is a `hidden beast` number, since 66 + 525 + 4 + 2 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80151079 + ... + 80151161.

It is an arithmetic number, because the mean of its divisors is an integer number (30331392).

Almost surely, 26652542960 is an apocalyptic number.

6652542960 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 6652542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559068160).

6652542960 is an abundant number, since it is smaller than the sum of its proper divisors (22465593360).

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

6652542960 is a wasteful number, since it uses less digits than its factorization.

6652542960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 6652542960 is about 81563.1225493482. The cubic root of 6652542960 is about 1880.7420263873.

The spelling of 6652542960 in words is "six billion, six hundred fifty-two million, five hundred forty-two thousand, nine hundred sixty".