Search a number
-
+
48098899303569 = 34172453292
BaseRepresentation
bin10101110111110111001011…
…10011101001110010010001
320022022012122222210120210000
422323323211303221302101
522301023021210203234
6250144155043400213
713063013364215052
oct1273734563516221
9208265588716700
1048098899303569
11143646a07a2934
125489a80083069
1320ab92593569a
14bc3ddb938729
15586269449899
hex2bbee5ce9c91

48098899303569 has 45 divisors (see below), whose sum is σ = 76328302371937. Its totient is φ = 30179035731456.

The previous prime is 48098899303549. The next prime is 48098899303597. The reversal of 48098899303569 is 96530399889084.

The square root of 48098899303569 is 6935337.

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

48098899303569 is a `hidden beast` number, since 4 + 80 + 98 + 8 + 99 + 303 + 5 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6647037894225 + 41451861409344 = 2578185^2 + 6438312^2 .

It is not a de Polignac number, because 48098899303569 - 233 = 48090309368977 is a prime.

It is a super-3 number, since 3×480988993035693 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48098899303549) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1061083897 + ... + 1061129225.

Almost surely, 248098899303569 is an apocalyptic number.

48098899303569 is the 6935337-th square number.

48098899303569 is the 3467669-th centered octagonal number.

It is an amenable number.

48098899303569 is a deficient number, since it is larger than the sum of its proper divisors (28229403068368).

48098899303569 is an frugal number, since it uses more digits than its factorization.

48098899303569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90704 (or 45349 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

48098899303569 divided by its sum of digits (81) gives a square (593813571649 = 7705932).

The spelling of 48098899303569 in words is "forty-eight trillion, ninety-eight billion, eight hundred ninety-nine million, three hundred three thousand, five hundred sixty-nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 23409 45329 135987 407961 770593 1223883 2311779 3671649 6935337 13100081 20806011 39300243 62418033 117900729 353702187 1061106561 2054718241 6164154723 18492464169 34930210097 55477392507 104790630291 166432177521 314371890873 593813571649 943115672619 1781440714947 2829347017857 5344322144841 16032966434523 48098899303569