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25123000920 = 23354116331327
BaseRepresentation
bin10111011001011100…
…101001001001011000
32101211212100200100120
4113121130221021120
5402422442012140
615312533033240
71546366661433
oct273134511130
971755320316
1025123000920
11a722308486
124a51785820
1324a4b71324
14130484481a
159c08bc1d0
hex5d9729258

25123000920 has 128 divisors (see below), whose sum is σ = 77683415040. Its totient is φ = 6495759360.

The previous prime is 25123000871. The next prime is 25123000939. The reversal of 25123000920 is 2900032152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786297 + ... + 817623.

It is an arithmetic number, because the mean of its divisors is an integer number (606901680).

Almost surely, 225123000920 is an apocalyptic number.

25123000920 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 25123000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38841707520).

25123000920 is an abundant number, since it is smaller than the sum of its proper divisors (52560414120).

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

25123000920 is a wasteful number, since it uses less digits than its factorization.

25123000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31545 (or 31541 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 25123000920 in words is "twenty-five billion, one hundred twenty-three million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 163 164 205 246 326 328 410 489 492 615 652 815 820 978 984 1230 1304 1630 1640 1956 2445 2460 3260 3912 4890 4920 6520 6683 9780 13366 19560 20049 26732 31327 33415 40098 53464 62654 66830 80196 93981 100245 125308 133660 156635 160392 187962 200490 250616 267320 313270 375924 400980 469905 626540 751848 801960 939810 1253080 1284407 1879620 2568814 3759240 3853221 5106301 5137628 6422035 7706442 10212602 10275256 12844070 15318903 15412884 19266105 20425204 25531505 25688140 30637806 30825768 38532210 40850408 51063010 51376280 61275612 76594515 77064420 102126020 122551224 153189030 154128840 204252040 209358341 306378060 418716682 612756120 628075023 837433364 1046791705 1256150046 1674866728 2093583410 2512300092 3140375115 4187166820 5024600184 6280750230 8374333640 12561500460 25123000920