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24255152040 = 2335776937549
BaseRepresentation
bin10110100101101110…
…000011111110101000
32022121101100101111110
4112211232003332220
5344133304331130
615050452030320
71516031250660
oct264556037650
968541311443
1024255152040
11a3174457a9
12484b0023a0
132397123a92
1412614971a0
1596e5e1ab0
hex5a5b83fa8

24255152040 has 128 divisors (see below), whose sum is σ = 83270880000. Its totient is φ = 5536677888.

The previous prime is 24255152017. The next prime is 24255152041. The reversal of 24255152040 is 4025155242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24255151989 and 24255152007.

It is not an unprimeable number, because it can be changed into a prime (24255152041) 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, 627186 + ... + 664734.

It is an arithmetic number, because the mean of its divisors is an integer number (650553750).

Almost surely, 224255152040 is an apocalyptic number.

24255152040 is a gapful number since it is divisible by the number (20) 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 24255152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41635440000).

24255152040 is an abundant number, since it is smaller than the sum of its proper divisors (59015727960).

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

24255152040 is a wasteful number, since it uses less digits than its factorization.

24255152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38339 (or 38335 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 24255152040 in words is "twenty-four billion, two hundred fifty-five million, one hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 769 840 1538 2307 3076 3845 4614 5383 6152 7690 9228 10766 11535 15380 16149 18456 21532 23070 26915 30760 32298 37549 43064 46140 53830 64596 75098 80745 92280 107660 112647 129192 150196 161490 187745 215320 225294 262843 300392 322980 375490 450588 525686 563235 645960 750980 788529 901176 1051372 1126470 1314215 1501960 1577058 2102744 2252940 2628430 3154116 3942645 4505880 5256860 6308232 7885290 10513720 15770580 28875181 31541160 57750362 86625543 115500724 144375905 173251086 202126267 231001448 288751810 346502172 404252534 433127715 577503620 606378801 693004344 808505068 866255430 1010631335 1155007240 1212757602 1617010136 1732510860 2021262670 2425515204 3031894005 3465021720 4042525340 4851030408 6063788010 8085050680 12127576020 24255152040