Search a number
-
+
6134685150 = 23521110336097
BaseRepresentation
bin1011011011010011…
…11101110111011110
3120211112111021222010
411231221331313132
5100030434411100
62452423332050
7305010651306
oct55551756736
916745437863
106134685150
112668962830
1212325b1026
13769c64c19
14422a6c606
1525d88e750
hex16da7ddde

6134685150 has 96 divisors (see below), whose sum is σ = 16758713088. Its totient is φ = 1472716800.

The previous prime is 6134685119. The next prime is 6134685209. The reversal of 6134685150 is 515864316.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6134685099 and 6134685108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151902 + ... + 187998.

It is an arithmetic number, because the mean of its divisors is an integer number (174569928).

Almost surely, 26134685150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6134685150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379356544).

6134685150 is an abundant number, since it is smaller than the sum of its proper divisors (10624027938).

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

6134685150 is a wasteful number, since it uses less digits than its factorization.

6134685150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36226 (or 36221 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 6134685150 is about 78324.2309250464. The cubic root of 6134685150 is about 1830.6167260532.

The spelling of 6134685150 in words is "six billion, one hundred thirty-four million, six hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 103 110 150 165 206 275 309 330 515 550 618 825 1030 1133 1545 1650 2266 2575 3090 3399 5150 5665 6798 7725 11330 15450 16995 28325 33990 36097 56650 72194 84975 108291 169950 180485 216582 360970 397067 541455 794134 902425 1082910 1191201 1804850 1985335 2382402 2707275 3717991 3970670 5414550 5956005 7435982 9926675 11153973 11912010 18589955 19853350 22307946 29780025 37179910 40897901 55769865 59560050 81795802 92949775 111539730 122693703 185899550 204489505 245387406 278849325 408979010 557698650 613468515 1022447525 1226937030 2044895050 3067342575 6134685150