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23406653133 = 33172310920341
BaseRepresentation
bin10101110011001001…
…010010111011001101
32020102020202011211000
4111303021102323031
5340414100400013
614430341450513
71456016161143
oct256311227315
966366664730
1023406653133
119a21499a36
124652a10a39
1322903bcb16
1411c0905593
1591ed89973
hex573252ecd

23406653133 has 64 divisors (see below), whose sum is σ = 38666073600. Its totient is φ = 13918417920.

The previous prime is 23406653131. The next prime is 23406653143. The reversal of 23406653133 is 33135660432.

23406653133 is a `hidden beast` number, since 2 + 34 + 0 + 66 + 531 + 33 = 666.

It is not a de Polignac number, because 23406653133 - 21 = 23406653131 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23406653131) 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 63 ways as a sum of consecutive naturals, for example, 1140543 + ... + 1160883.

It is an arithmetic number, because the mean of its divisors is an integer number (604157400).

Almost surely, 223406653133 is an apocalyptic number.

23406653133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23406653133 is a deficient number, since it is larger than the sum of its proper divisors (15259420467).

23406653133 is a wasteful number, since it uses less digits than its factorization.

23406653133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20499 (or 20493 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 23406653133 in words is "twenty-three billion, four hundred six million, six hundred fifty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 17 23 27 51 69 109 153 207 327 391 459 621 981 1173 1853 2507 2943 3519 5559 7521 10557 16677 20341 22563 42619 50031 61023 67689 127857 183069 345797 383571 467843 549207 1037391 1150713 1403529 2217169 3112173 4210587 6651507 7953331 9336519 12631761 19954521 23859993 37691873 50994887 59863563 71579979 113075619 152984661 214739937 339226857 458953983 866913079 1017680571 1376861949 2600739237 7802217711 23406653133