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24530151040 = 275211373487
BaseRepresentation
bin10110110110000111…
…000110011010000000
32100022112210210012121
4112312013012122000
5400214204313130
615134034134024
71525610562223
oct266607063200
970275723177
1024530151040
11a4486a35aa
124907121314
13240c0aa095
141289bdd5ba
15988812d7a
hex5b61c6680

24530151040 has 128 divisors (see below), whose sum is σ = 59199592320. Its totient is φ = 9719377920.

The previous prime is 24530151017. The next prime is 24530151049. The reversal of 24530151040 is 4015103542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 24530150996 and 24530151014.

It is not an unprimeable number, because it can be changed into a prime (24530151049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50369677 + ... + 50370163.

It is an arithmetic number, because the mean of its divisors is an integer number (462496815).

Almost surely, 224530151040 is an apocalyptic number.

24530151040 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 24530151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29599796160).

24530151040 is an abundant number, since it is smaller than the sum of its proper divisors (34669441280).

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

24530151040 is a wasteful number, since it uses less digits than its factorization.

24530151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 24530151040 its reverse (4015103542), we get a palindrome (28545254582).

The spelling of 24530151040 in words is "twenty-four billion, five hundred thirty million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 320 373 422 487 640 746 844 974 1055 1492 1688 1865 1948 2110 2435 2984 3376 3730 3896 4220 4870 5968 6752 7460 7792 8440 9740 11936 13504 14920 15584 16880 19480 23872 27008 29840 31168 33760 38960 47744 59680 62336 67520 77920 78703 102757 119360 135040 155840 157406 181651 205514 238720 311680 314812 363302 393515 411028 513785 629624 726604 787030 822056 908255 1027570 1259248 1453208 1574060 1644112 1816510 2055140 2518496 2906416 3148120 3288224 3633020 4110280 5036992 5812832 6296240 6576448 7266040 8220560 10073984 11625664 12592480 13152896 14532080 16441120 23251328 25184960 29064160 32882240 38328361 50369920 58128320 65764480 76656722 116256640 153313444 191641805 306626888 383283610 613253776 766567220 1226507552 1533134440 2453015104 3066268880 4906030208 6132537760 12265075520 24530151040