Search a number
-
+
24732990000 = 243254274811
BaseRepresentation
bin10111000010001100…
…110111101000110000
32100211200111001221200
4113002030313220300
5401123121140000
615210121451200
71533622642365
oct270214675060
970750431850
1024732990000
11a542145504
124963040b00
132442119634
1412a8b2046c
1599b52d500
hex5c2337a30

24732990000 has 150 divisors (see below), whose sum is σ = 86495153316. Its totient is φ = 6595440000.

The previous prime is 24732989999. The next prime is 24732990041. The reversal of 24732990000 is 9923742.

24732990000 is a `hidden beast` number, since 247 + 329 + 90 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×247329900002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 47406 + ... + 227405.

Almost surely, 224732990000 is an apocalyptic number.

24732990000 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 24732990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43247576658).

24732990000 is an abundant number, since it is smaller than the sum of its proper divisors (61762163316).

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

24732990000 is a wasteful number, since it uses less digits than its factorization.

24732990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274845 (or 274821 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 24732990000 in words is "twenty-four billion, seven hundred thirty-two million, nine hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 274811 549622 824433 1099244 1374055 1648866 2198488 2473299 2748110 3297732 4122165 4396976 4946598 5496220 6595464 6870275 8244330 9893196 10992440 12366495 13190928 13740550 16488660 19786392 20610825 21984880 24732990 27481100 32977320 34351375 39572784 41221650 49465980 54962200 61832475 65954640 68702750 82443300 98931960 103054125 109924400 123664950 137405500 164886600 171756875 197863920 206108250 247329900 274811000 309162375 329773200 343513750 412216500 494659800 515270625 549622000 618324750 687027500 824433000 989319600 1030541250 1236649500 1374055000 1545811875 1648866000 2061082500 2473299000 2748110000 3091623750 4122165000 4946598000 6183247500 8244330000 12366495000 24732990000