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46500247553881 = 112232269532
BaseRepresentation
bin10101001001010101011101…
…01111001100011101011001
320002122101021012111022112111
422210222232233030131121
522043330001333211011
6242521530244312321
712536350324440652
oct1244525657143531
9202571235438474
1046500247553881
11138a870a537900
1252700869a26a1
131cc3c5413c4c4
14b6a8a432c529
155598a13d7121
hex2a4aaebcc759

46500247553881 has 27 divisors (see below), whose sum is σ = 53432698547487. Its totient is φ = 40433497668960.

The previous prime is 46500247553867. The next prime is 46500247553959. The reversal of 46500247553881 is 18835574200564.

The square root of 46500247553881 is 6819109.

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

It can be written as a sum of positive squares in only one way, i.e., 31959631291225 + 14540616262656 = 5653285^2 + 3813216^2 .

It is not a de Polignac number, because 46500247553881 - 223 = 46500239165273 is a prime.

It is a super-2 number, since 2×465002475538812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46500247553821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1725221101 + ... + 1725248053.

Almost surely, 246500247553881 is an apocalyptic number.

46500247553881 is the 6819109-th square number.

46500247553881 is the 3409555-th centered octagonal number.

It is an amenable number.

46500247553881 is a deficient number, since it is larger than the sum of its proper divisors (6932450993606).

46500247553881 is an frugal number, since it uses more digits than its factorization.

46500247553881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53974 (or 26987 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 58.

The spelling of 46500247553881 in words is "forty-six trillion, five hundred billion, two hundred forty-seven million, five hundred fifty-three thousand, eight hundred eighty-one".

Divisors: 1 11 23 121 253 529 2783 5819 26953 64009 296483 619919 3261313 6819109 14258137 75010199 156839507 726464209 1725234577 7991106299 16708676807 87902169289 183795444877 384299566561 2021749893647 4227295232171 46500247553881