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24255331040 = 2554125714387
BaseRepresentation
bin10110100101101110…
…101111101011100000
32022121101200111001002
4112211232233223200
5344133331043130
615050455531132
71516032624563
oct264556575340
968541614032
1024255331040
11a317558236
12484b089aa8
1323971873b5
1412615024da
1596e629b45
hex5a5bafae0

24255331040 has 96 divisors (see below), whose sum is σ = 58933363104. Its totient is φ = 9428008960.

The previous prime is 24255331033. The next prime is 24255331063. The reversal of 24255331040 is 4013355242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 24255330994 and 24255331012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1678727 + ... + 1693113.

It is an arithmetic number, because the mean of its divisors is an integer number (613889199).

Almost surely, 224255331040 is an apocalyptic number.

24255331040 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 24255331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29466681552).

24255331040 is an abundant number, since it is smaller than the sum of its proper divisors (34678032064).

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

24255331040 is a wasteful number, since it uses less digits than its factorization.

24255331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14700 (or 14692 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 24255331040 its reverse (4013355242), we get a palindrome (28268686282).

The spelling of 24255331040 in words is "twenty-four billion, two hundred fifty-five million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 257 328 410 514 656 820 1028 1285 1312 1640 2056 2570 3280 4112 5140 6560 8224 10280 10537 14387 20560 21074 28774 41120 42148 52685 57548 71935 84296 105370 115096 143870 168592 210740 230192 287740 337184 421480 460384 575480 589867 842960 1150960 1179734 1685920 2301920 2359468 2949335 3697459 4718936 5898670 7394918 9437872 11797340 14789836 18487295 18875744 23594680 29579672 36974590 47189360 59159344 73949180 94378720 118318688 147898360 151595819 295796720 303191638 591593440 606383276 757979095 1212766552 1515958190 2425533104 3031916380 4851066208 6063832760 12127665520 24255331040