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55661077476 = 22361722572
BaseRepresentation
bin110011110101101010…
…001010001111100100
312022200010010201000000
4303311222022033210
51402443213434401
641323110021300
74010222231544
oct636552121744
9168603121000
1055661077476
1121673255384
12a954947830
135330860704
1429a0517324
1516ab881186
hexcf5a8a3e4

55661077476 has 189 divisors, whose sum is σ = 155745661099. Its totient is φ = 17394352128.

The previous prime is 55661077447. The next prime is 55661077501. The reversal of 55661077476 is 67477016655.

The square root of 55661077476 is 235926.

It is a perfect power (a square), and thus also a powerful number.

55661077476 is a `hidden beast` number, since 5 + 5 + 66 + 107 + 7 + 476 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37143311076 + 18517766400 = 192726^2 + 136080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 216579940 + ... + 216580196.

Almost surely, 255661077476 is an apocalyptic number.

55661077476 is the 235926-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55661077476

55661077476 is an abundant number, since it is smaller than the sum of its proper divisors (100084583623).

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

55661077476 is an equidigital number, since it uses as much as digits as its factorization.

55661077476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 55661077476 in words is "fifty-five billion, six hundred sixty-one million, seventy-seven thousand, four hundred seventy-six".