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5506446141 = 327432032649
BaseRepresentation
bin1010010000011010…
…11011001100111101
3112012202100110001200
411020031123030331
542234122234031
62310222130113
7253312006560
oct51015331475
915182313050
105506446141
112376277539
121098120939
13699a5ca71
143a34544d7
152236448e6
hex14835b33d

5506446141 has 24 divisors (see below), whose sum is σ = 9301406400. Its totient is φ = 3073363776.

The previous prime is 5506446139. The next prime is 5506446157. The reversal of 5506446141 is 1416446055.

5506446141 is a `hidden beast` number, since 5 + 5 + 0 + 644 + 6 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 5506446141 - 21 = 5506446139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5506446096 and 5506446105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506446161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1013616 + ... + 1019033.

It is an arithmetic number, because the mean of its divisors is an integer number (387558600).

Almost surely, 25506446141 is an apocalyptic number.

It is an amenable number.

5506446141 is a deficient number, since it is larger than the sum of its proper divisors (3794960259).

5506446141 is a wasteful number, since it uses less digits than its factorization.

5506446141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032705 (or 2032702 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5506446141 is about 74205.4320181481. The cubic root of 5506446141 is about 1765.8635082172.

The spelling of 5506446141 in words is "five billion, five hundred six million, four hundred forty-six thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 2032649 6097947 14228543 18293841 42685629 87403907 128056887 262211721 611827349 786635163 1835482047 5506446141