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24122039136 = 2531319519907
BaseRepresentation
bin10110011101110010…
…010001101101100000
32022021002212112220220
4112131302101231200
5343400220223021
615025335003040
71512523643466
oct263562215540
968232775826
1024122039136
11a259298038
124812509480
132375688450
14124b926836
15962a9acc6
hex59dc91b60

24122039136 has 96 divisors (see below), whose sum is σ = 68232987648. Its totient is φ = 7417612800.

The previous prime is 24122039063. The next prime is 24122039147. The reversal of 24122039136 is 63193022142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 24122039097 and 24122039106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2429895 + ... + 2439801.

It is an arithmetic number, because the mean of its divisors is an integer number (710760288).

Almost surely, 224122039136 is an apocalyptic number.

24122039136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24122039136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34116493824).

24122039136 is an abundant number, since it is smaller than the sum of its proper divisors (44110948512).

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

24122039136 is a wasteful number, since it uses less digits than its factorization.

24122039136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11884 (or 11876 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 24122039136 in words is "twenty-four billion, one hundred twenty-two million, thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1951 3902 5853 7804 9907 11706 15608 19814 23412 25363 29721 31216 39628 46824 50726 59442 62432 76089 79256 93648 101452 118884 128791 152178 158512 187296 202904 237768 257582 304356 317024 386373 405808 475536 515164 608712 772746 811616 951072 1030328 1217424 1545492 2060656 2434848 3090984 4121312 6181968 12363936 19328557 38657114 57985671 77314228 115971342 154628456 231942684 251271241 309256912 463885368 502542482 618513824 753813723 927770736 1005084964 1507627446 1855541472 2010169928 3015254892 4020339856 6030509784 8040679712 12061019568 24122039136