Search a number
-
+
25130643000 = 2335327130911
BaseRepresentation
bin10111011001111001…
…110010111000111000
32101212101201221022120
4113121321302320320
5402431421034000
615313404521240
71546521640521
oct273171627070
971771657276
1025130643000
11a726658051
124a54250220
1324a6618878
141305873848
159c13cb6a0
hex5d9e72e38

25130643000 has 128 divisors (see below), whose sum is σ = 78699479040. Its totient is φ = 6676560000.

The previous prime is 25130642983. The next prime is 25130643047. The reversal of 25130643000 is 34603152.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797545 + ... + 828455.

It is an arithmetic number, because the mean of its divisors is an integer number (614839680).

Almost surely, 225130643000 is an apocalyptic number.

25130643000 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 25130643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39349739520).

25130643000 is an abundant number, since it is smaller than the sum of its proper divisors (53568836040).

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

25130643000 is a wasteful number, since it uses less digits than its factorization.

25130643000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31206 (or 31192 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 25130643000 in words is "twenty-five billion, one hundred thirty million, six hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 271 300 375 500 542 600 750 813 1000 1084 1355 1500 1626 2168 2710 3000 3252 4065 5420 6504 6775 8130 10840 13550 16260 20325 27100 30911 32520 33875 40650 54200 61822 67750 81300 92733 101625 123644 135500 154555 162600 185466 203250 247288 271000 309110 370932 406500 463665 618220 741864 772775 813000 927330 1236440 1545550 1854660 2318325 3091100 3709320 3863875 4636650 6182200 7727750 8376881 9273300 11591625 15455500 16753762 18546600 23183250 25130643 30911000 33507524 41884405 46366500 50261286 67015048 83768810 92733000 100522572 125653215 167537620 201045144 209422025 251306430 335075240 418844050 502612860 628266075 837688100 1005225720 1047110125 1256532150 1675376200 2094220250 2513064300 3141330375 4188440500 5026128600 6282660750 8376881000 12565321500 25130643000