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23945525424 = 2433314394073
BaseRepresentation
bin10110010011010000…
…111011100010110000
32021210210201201122000
4112103100323202300
5343020023303144
615000031414000
71505251415322
oct262320734260
967723651560
1023945525424
11a178696737
124783384300
132347c35372
1412322d9612
15952330769
hex59343b8b0

23945525424 has 160 divisors (see below), whose sum is σ = 71128780800. Its totient is φ = 7704875520.

The previous prime is 23945525419. The next prime is 23945525441. The reversal of 23945525424 is 42452554932.

23945525424 is a `hidden beast` number, since 2 + 3 + 94 + 552 + 5 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23945525424.

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, 5877052 + ... + 5881124.

It is an arithmetic number, because the mean of its divisors is an integer number (444554880).

Almost surely, 223945525424 is an apocalyptic number.

23945525424 is a gapful number since it is divisible by the number (24) 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 23945525424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35564390400).

23945525424 is an abundant number, since it is smaller than the sum of its proper divisors (47183255376).

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

23945525424 is a wasteful number, since it uses less digits than its factorization.

23945525424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4548 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 23945525424 in words is "twenty-three billion, nine hundred forty-five million, five hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 439 496 558 744 837 878 1116 1317 1488 1674 1756 2232 2634 3348 3512 3951 4073 4464 5268 6696 7024 7902 8146 10536 11853 12219 13392 13609 15804 16292 21072 23706 24438 27218 31608 32584 36657 40827 47412 48876 54436 63216 65168 73314 81654 94824 97752 108872 109971 122481 126263 146628 163308 189648 195504 217744 219942 244962 252526 293256 326616 367443 378789 439884 489924 505052 586512 653232 734886 757578 879768 979848 1010104 1136367 1469772 1515156 1759536 1788047 1959696 2020208 2272734 2939544 3030312 3409101 3576094 4545468 5364141 5879088 6060624 6818202 7152188 9090936 10728282 13636404 14304376 16092423 18181872 21456564 27272808 28608752 32184846 42913128 48277269 54545616 55429457 64369692 85826256 96554538 110858914 128739384 166288371 193109076 221717828 257478768 332576742 386218152 443435656 498865113 665153484 772436304 886871312 997730226 1330306968 1496595339 1995460452 2660613936 2993190678 3990920904 5986381356 7981841808 11972762712 23945525424