Search a number
-
+
9485768250 = 23453766919
BaseRepresentation
bin10001101010110010…
…10101011000111010
3220111002010221210000
420311121111120322
5123411324041000
64205132533430
7454031462010
oct106531253072
926432127700
109485768250
1140285180a2
121a08921276
13b822c162a
1465db448b0
153a7b83000
hex23565563a

9485768250 has 160 divisors (see below), whose sum is σ = 30316366080. Its totient is φ = 2168143200.

The previous prime is 9485768249. The next prime is 9485768267. The reversal of 9485768250 is 528675849.

9485768250 is a `hidden beast` number, since 9 + 48 + 576 + 8 + 25 + 0 = 666.

9485768250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 108291 + ... + 175209.

It is an arithmetic number, because the mean of its divisors is an integer number (189477288).

Almost surely, 29485768250 is an apocalyptic number.

9485768250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9485768250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158183040).

9485768250 is an abundant number, since it is smaller than the sum of its proper divisors (20830597830).

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

9485768250 is a wasteful number, since it uses less digits than its factorization.

9485768250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66955 (or 66936 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 9485768250 is about 97394.9087478396. The cubic root of 9485768250 is about 2116.8536638755.

The spelling of 9485768250 in words is "nine billion, four hundred eighty-five million, seven hundred sixty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 125 126 135 150 162 175 189 210 225 250 270 315 350 375 378 405 450 525 567 630 675 750 810 875 945 1050 1125 1134 1350 1575 1750 1890 2025 2250 2625 2835 3150 3375 4050 4725 5250 5670 6750 7875 9450 10125 14175 15750 20250 23625 28350 47250 66919 70875 133838 141750 200757 334595 401514 468433 602271 669190 936866 1003785 1204542 1405299 1672975 1806813 2007570 2342165 2810598 3011355 3345950 3613626 4215897 4684330 5018925 5420439 6022710 7026495 8364875 8431794 9034065 10037850 10840878 11710825 12647691 14052990 15056775 16729750 18068130 21079485 23421650 25094625 25295382 27102195 30113550 35132475 37943073 42158970 45170325 50189250 54204390 58554125 63238455 70264950 75283875 75886146 90340650 105397425 117108250 126476910 135510975 150567750 175662375 189715365 210794850 225851625 271021950 316192275 351324750 379430730 451703250 526987125 632384550 677554875 948576825 1053974250 1355109750 1580961375 1897153650 3161922750 4742884125 9485768250