Search a number
-
+
23046622641 = 3271937520369
BaseRepresentation
bin10101011101101011…
…111000110110110001
32012111011021201211100
4111131223320312301
5334144413411031
614330521035013
71444055026440
oct253553706661
965434251740
1023046622641
119857243779
124572325a69
132233934223
141188b86d57
158ed46dde6
hex55daf8db1

23046622641 has 48 divisors (see below), whose sum is σ = 41130044800. Its totient is φ = 12139144704.

The previous prime is 23046622619. The next prime is 23046622673. The reversal of 23046622641 is 14622664032.

23046622641 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 6 + 6 + 2 + 2 + 641 = 666.

It is not a de Polignac number, because 23046622641 - 27 = 23046622513 is a prime.

It is a super-2 number, since 2×230466226412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23046622596 and 23046622605.

It is not an unprimeable number, because it can be changed into a prime (23046622601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215896 + ... + 304473.

Almost surely, 223046622641 is an apocalyptic number.

23046622641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23046622641 is a deficient number, since it is larger than the sum of its proper divisors (18083422159).

23046622641 is a wasteful number, since it uses less digits than its factorization.

23046622641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520438 (or 520435 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23046622641 in words is "twenty-three billion, forty-six million, six hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 3 7 9 19 21 37 57 63 111 133 171 259 333 399 703 777 1197 2109 2331 4921 6327 14763 44289 520369 1561107 3642583 4683321 9887011 10927749 19253653 29661033 32783247 57760959 69209077 88983099 134775571 173282877 207627231 365819407 404326713 622881693 1097458221 1212980139 2560735849 3292374663 7682207547 23046622641