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24027040426872 = 23371132694705007
BaseRepresentation
bin1010111011010001110110…
…01101011010101101111000
310011001221222202111012212110
411131220323031122231320
511122124334322124442
6123033511530212320
75026616313614550
oct535507315325570
9104057882435773
1024027040426872
1177238a0a3462a
1228407272840a0
131053981275c52
145d0cb4924160
152b9ee9c0e69c
hex15da3b35ab78

24027040426872 has 128 divisors (see below), whose sum is σ = 69513670195200. Its totient is φ = 6778822084608.

The previous prime is 24027040426867. The next prime is 24027040426943. The reversal of 24027040426872 is 27862404072042.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2754193 + ... + 7459199.

It is an arithmetic number, because the mean of its divisors is an integer number (543075548400).

Almost surely, 224027040426872 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 24027040426872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34756835097600).

24027040426872 is an abundant number, since it is smaller than the sum of its proper divisors (45486629768328).

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

24027040426872 is a wasteful number, since it uses less digits than its factorization.

24027040426872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705405 (or 4705401 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 48.

The spelling of 24027040426872 in words is "twenty-four trillion, twenty-seven billion, forty million, four hundred twenty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 269 339 452 538 678 791 807 904 1076 1356 1582 1614 1883 2152 2373 2712 3164 3228 3766 4746 5649 6328 6456 7532 9492 11298 15064 18984 22596 30397 45192 60794 91191 121588 182382 212779 243176 364764 425558 638337 729528 851116 1276674 1702232 2553348 4705007 5106696 9410014 14115021 18820028 28230042 32935049 37640056 56460084 65870098 98805147 112920168 131740196 197610294 263480392 395220588 531665791 790441176 1063331582 1265646883 1594997373 2126663164 2531293766 3189994746 3721660537 3796940649 4253326328 5062587532 6379989492 7443321074 7593881298 8859528181 10125175064 11164981611 12759978984 14886642148 15187762596 17719056362 22329963222 26578584543 29773284296 30375525192 35438112724 44659926444 53157169086 70876225448 89319852888 106314338172 143018097779 212628676344 286036195558 429054293337 572072391116 858108586674 1001126684453 1144144782232 1716217173348 2002253368906 3003380053359 3432434346696 4004506737812 6006760106718 8009013475624 12013520213436 24027040426872