Search a number
-
+
24450195060 = 2234579191047
BaseRepresentation
bin10110110001010110…
…000101111001110100
32100002222100121020000
4112301112011321310
5400033222220220
615122100311300
71523620141344
oct266126057164
970088317200
1024450195060
11a407552485
1248a43a2530
1323c8663a55
14127d348d24
159817bc390
hex5b1585e74

24450195060 has 120 divisors (see below), whose sum is σ = 77672474880. Its totient is φ = 6437486016.

The previous prime is 24450195059. The next prime is 24450195089. The reversal of 24450195060 is 6059105442.

24450195060 is a `hidden beast` number, since 2 + 4 + 4 + 501 + 95 + 0 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32457 + ... + 223503.

It is an arithmetic number, because the mean of its divisors is an integer number (647270624).

Almost surely, 224450195060 is an apocalyptic number.

24450195060 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 24450195060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836237440).

24450195060 is an abundant number, since it is smaller than the sum of its proper divisors (53222279820).

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

24450195060 is a wasteful number, since it uses less digits than its factorization.

24450195060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191147 (or 191136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 24450195060 in words is "twenty-four billion, four hundred fifty million, one hundred ninety-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 395 405 474 540 711 790 810 948 1185 1422 1580 1620 2133 2370 2844 3555 4266 4740 6399 7110 8532 10665 12798 14220 21330 25596 31995 42660 63990 127980 191047 382094 573141 764188 955235 1146282 1719423 1910470 2292564 2865705 3438846 3820940 5158269 5731410 6877692 8597115 10316538 11462820 15092713 15474807 17194230 20633076 25791345 30185426 30949614 34388460 45278139 51582690 60370852 61899228 75463565 77374035 90556278 103165380 135834417 150927130 154748070 181112556 226390695 271668834 301854260 309496140 407503251 452781390 543337668 679172085 815006502 905562780 1222509753 1358344170 1630013004 2037516255 2445019506 2716688340 4075032510 4890039012 6112548765 8150065020 12225097530 24450195060