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6652135980 = 223257191132459
BaseRepresentation
bin1100011000111111…
…11000101000101100
3122011121011112001200
412030133320220230
5102110421322410
63020030205500
7323563136310
oct61437705054
918147145050
106652135980
112903a59246
121357953890
1382021a049
14471687b40
1528e0033c0
hex18c7f8a2c

6652135980 has 288 divisors, whose sum is σ = 24499238400. Its totient is φ = 1427134464.

The previous prime is 6652135939. The next prime is 6652136017. The reversal of 6652135980 is 895312566.

6652135980 is a `hidden beast` number, since 6 + 6 + 52 + 1 + 3 + 598 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2703991 + ... + 2706449.

It is an arithmetic number, because the mean of its divisors is an integer number (85066800).

Almost surely, 26652135980 is an apocalyptic number.

6652135980 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 6652135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249619200).

6652135980 is an abundant number, since it is smaller than the sum of its proper divisors (17847102420).

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

6652135980 is a wasteful number, since it uses less digits than its factorization.

6652135980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6652135980 is about 81560.6276336812. The cubic root of 6652135980 is about 1880.7036731338.

The spelling of 6652135980 in words is "six billion, six hundred fifty-two million, one hundred thirty-five thousand, nine hundred eighty".