Search a number
-
+
32349468861 = 3217533989329
BaseRepresentation
bin11110001000001011…
…011011100010111101
310002111111020021202100
4132020023123202331
51012222431000421
622510001215313
72223435643203
oct361013334275
9102444207670
1032349468861
11127a0482836
126329931539
13308706a968
1417cc4b3073
15c9501cc26
hex7882db8bd

32349468861 has 24 divisors (see below), whose sum is σ = 50409173880. Its totient is φ = 19914725376.

The previous prime is 32349468841. The next prime is 32349468869. The reversal of 32349468861 is 16886494323.

32349468861 is a `hidden beast` number, since 32 + 3 + 494 + 68 + 8 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11784188025 + 20565280836 = 108555^2 + 143406^2 .

It is not a de Polignac number, because 32349468861 - 214 = 32349452477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32349468798 and 32349468807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32349468869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986556 + ... + 2002773.

It is an arithmetic number, because the mean of its divisors is an integer number (2100382245).

Almost surely, 232349468861 is an apocalyptic number.

It is an amenable number.

32349468861 is a deficient number, since it is larger than the sum of its proper divisors (18059705019).

32349468861 is a wasteful number, since it uses less digits than its factorization.

32349468861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989405 (or 3989402 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 32349468861 in words is "thirty-two billion, three hundred forty-nine million, four hundred sixty-eight thousand, eight hundred sixty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 3989329 11967987 35903961 67818593 203455779 211434437 610367337 634303311 1902909933 3594385429 10783156287 32349468861