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6655104960 = 263572234441
BaseRepresentation
bin1100011001010110…
…01101011111000000
3122011210202100201220
412030223031133000
5102112201324320
63020213555040
7323630313240
oct61453153700
918153670656
106655104960
1129056a6949
121358945a80
13820a1953a
14471c1bb20
1528e3dce40
hex18cacd7c0

6655104960 has 224 divisors, whose sum is σ = 24262275072. Its totient is φ = 1514004480.

The previous prime is 6655104959. The next prime is 6655104979. The reversal of 6655104960 is 694015566.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1496340 + ... + 1500780.

It is an arithmetic number, because the mean of its divisors is an integer number (108313728).

Almost surely, 26655104960 is an apocalyptic number.

6655104960 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 6655104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131137536).

6655104960 is an abundant number, since it is smaller than the sum of its proper divisors (17607170112).

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

6655104960 is a wasteful number, since it uses less digits than its factorization.

6655104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 6655104960 is about 81578.8266647664. The cubic root of 6655104960 is about 1880.9834299467.

The spelling of 6655104960 in words is "six billion, six hundred fifty-five million, one hundred four thousand, nine hundred sixty".