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23484819468 = 223111033175449
BaseRepresentation
bin10101110111110011…
…011110100000001100
32020121200211102212110
4111313303132200030
5341044103210333
614442213104020
71460655446265
oct256763364014
966550742773
1023484819468
119a61628510
124675028010
1322a365a6a6
1411cb05196c
15926b7a063
hex577cde80c

23484819468 has 96 divisors (see below), whose sum is σ = 60561446400. Its totient is φ = 7023997440.

The previous prime is 23484819467. The next prime is 23484819481. The reversal of 23484819468 is 86491848432.

It is not an unprimeable number, because it can be changed into a prime (23484819467) 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 31 ways as a sum of consecutive naturals, for example, 4307208 + ... + 4312656.

It is an arithmetic number, because the mean of its divisors is an integer number (630848400).

Almost surely, 223484819468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23484819468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30280723200).

23484819468 is an abundant number, since it is smaller than the sum of its proper divisors (37076626932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23484819468 is a wasteful number, since it uses less digits than its factorization.

23484819468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5885 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The spelling of 23484819468 in words is "twenty-three billion, four hundred eighty-four million, eight hundred nineteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 317 412 618 634 951 1133 1236 1268 1902 2266 3399 3487 3804 4532 5449 6798 6974 10461 10898 13596 13948 16347 20922 21796 32651 32694 41844 59939 65302 65388 97953 119878 130604 179817 195906 239756 359161 359634 391812 561247 718322 719268 1077483 1122494 1436644 1683741 1727333 2154966 2244988 3367482 3454666 4309932 5181999 6173717 6734964 6909332 10363998 12347434 18521151 19000663 20727996 24694868 37042302 38001326 57001989 74084604 76002652 114003978 177915299 228007956 355830598 533745897 711661196 1067491794 1957068289 2134983588 3914136578 5871204867 7828273156 11742409734 23484819468