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45580406351 = 5379103105691
BaseRepresentation
bin101010011100110011…
…011100111001001111
311100122120120112220012
4222130303130321033
51221322041000401
632534522143435
73202345030034
oct523463347117
9140576515805
1045580406351
111836aa50a17
128a00951b7b
1343b523955c
1422c579538b
1512bb88a8bb
hexa9ccdce4f

45580406351 has 16 divisors (see below), whose sum is σ = 47485301760. Its totient is φ = 43725221280.

The previous prime is 45580406329. The next prime is 45580406369. The reversal of 45580406351 is 15360408554.

It is a cyclic number.

It is not a de Polignac number, because 45580406351 - 222 = 45576212047 is a prime.

It is a super-2 number, since 2×455804063512 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45580406299 and 45580406308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45580409351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378416 + ... + 484106.

It is an arithmetic number, because the mean of its divisors is an integer number (2967831360).

Almost surely, 245580406351 is an apocalyptic number.

45580406351 is a deficient number, since it is larger than the sum of its proper divisors (1904895409).

45580406351 is a wasteful number, since it uses less digits than its factorization.

45580406351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105926.

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 45580406351 in words is "forty-five billion, five hundred eighty million, four hundred six thousand, three hundred fifty-one".

Divisors: 1 53 79 103 4187 5459 8137 105691 431261 5601623 8349589 10886173 442528217 576967169 860007667 45580406351