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45600446641 = 892691904701
BaseRepresentation
bin101010011101111111…
…111001100010110001
311100200222021201000011
4222131333321202301
51221342203243031
632540515454521
73203010254401
oct523577714261
9140628251004
1045600446641
1118380299542
128a075b7441
1343b9435109
1422c82d0801
1512bd4e86b1
hexa9dff98b1

45600446641 has 8 divisors (see below), whose sum is σ = 46284258600. Its totient is φ = 44920444800.

The previous prime is 45600446603. The next prime is 45600446657. The reversal of 45600446641 is 14664400654.

It can be written as a sum of positive squares in 4 ways, for example, as 1376039025 + 44224407616 = 37095^2 + 210296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45600446641 - 225 = 45566892209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45600446594 and 45600446603.

It is not an unprimeable number, because it can be changed into a prime (45600446141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928410 + ... + 976291.

It is an arithmetic number, because the mean of its divisors is an integer number (5785532325).

Almost surely, 245600446641 is an apocalyptic number.

It is an amenable number.

45600446641 is a deficient number, since it is larger than the sum of its proper divisors (683811959).

45600446641 is a wasteful number, since it uses less digits than its factorization.

45600446641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905059.

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 45600446641 in words is "forty-five billion, six hundred million, four hundred forty-six thousand, six hundred forty-one".

Divisors: 1 89 269 23941 1904701 169518389 512364569 45600446641