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55552315041 = 327325412141
BaseRepresentation
bin110011101111001011…
…010000111010100001
312022101112110222222200
4303233023100322201
51402232343040131
641304222523413
74004431613106
oct635713207241
9168345428880
1055552315041
1121617919573
12a924436569
13531416c742
14298dcc4aad
1516a204a2e6
hexcef2d0ea1

55552315041 has 36 divisors (see below), whose sum is σ = 81544950396. Its totient is φ = 36443001600.

The previous prime is 55552315009. The next prime is 55552315057. The reversal of 55552315041 is 14051325555.

55552315041 is a `hidden beast` number, since 55 + 552 + 3 + 1 + 50 + 4 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4869248400 + 50683066641 = 69780^2 + 225129^2 .

It is not a de Polignac number, because 55552315041 - 25 = 55552315009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55552314987 and 55552315005.

It is not an unprimeable number, because it can be changed into a prime (55552315241) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 25945831 + ... + 25947971.

It is an arithmetic number, because the mean of its divisors is an integer number (2265137511).

Almost surely, 255552315041 is an apocalyptic number.

It is an amenable number.

55552315041 is a deficient number, since it is larger than the sum of its proper divisors (25992635355).

55552315041 is a wasteful number, since it uses less digits than its factorization.

55552315041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 55552315041 in words is "fifty-five billion, five hundred fifty-two million, three hundred fifteen thousand, forty-one".

Divisors: 1 3 9 73 219 541 657 1623 2141 4869 5329 6423 15987 19269 39493 47961 118479 156293 355437 468879 1158281 1406637 2882989 3474843 8648967 10424529 11409389 25946901 34228167 84554513 102684501 253663539 760990617 6172479449 18517438347 55552315041