Search a number
-
+
5313414150 = 23252116117597
BaseRepresentation
bin1001111001011010…
…00100010000000110
3111201022010101221200
410330231010100012
541340213223100
62235124523330
7245446163232
oct47455042006
914638111850
105313414150
112287313770
121043550546
13668a75255
143859675c2
15211714e00
hex13cb44406

5313414150 has 144 divisors (see below), whose sum is σ = 15829330608. Its totient is φ = 1266912000.

The previous prime is 5313414143. The next prime is 5313414151. The reversal of 5313414150 is 514143135.

It is a happy number.

5313414150 is a `hidden beast` number, since 531 + 3 + 41 + 41 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313414151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 293152 + ... + 310748.

It is an arithmetic number, because the mean of its divisors is an integer number (109925907).

Almost surely, 25313414150 is an apocalyptic number.

5313414150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313414150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914665304).

5313414150 is an abundant number, since it is smaller than the sum of its proper divisors (10515916458).

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

5313414150 is a wasteful number, since it uses less digits than its factorization.

5313414150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17687 (or 17679 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5313414150 is about 72893.1694330820. The cubic root of 5313414150 is about 1744.9830897396.

Adding to 5313414150 its reverse (514143135), we get a palindrome (5827557285).

The spelling of 5313414150 in words is "five billion, three hundred thirteen million, four hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 61 66 75 90 99 110 122 150 165 183 198 225 275 305 330 366 450 495 549 550 610 671 825 915 990 1098 1342 1525 1650 1830 2013 2475 2745 3050 3355 4026 4575 4950 5490 6039 6710 9150 10065 12078 13725 16775 17597 20130 27450 30195 33550 35194 50325 52791 60390 87985 100650 105582 150975 158373 175970 193567 263955 301950 316746 387134 439925 527910 580701 791865 879850 967835 1073417 1161402 1319775 1583730 1742103 1935670 2146834 2639550 2903505 3220251 3484206 3959325 4839175 5367085 5807010 6440502 7918650 8710515 9660753 9678350 10734170 11807587 14517525 16101255 17421030 19321506 23615174 26835425 29035050 32202510 35422761 43552575 48303765 53670850 59037935 70845522 80506275 87105150 96607530 106268283 118075870 161012550 177113805 212536566 241518825 295189675 354227610 483037650 531341415 590379350 885569025 1062682830 1771138050 2656707075 5313414150