Search a number
-
+
5335755150 = 23521121717293
BaseRepresentation
bin1001111100000100…
…10010100110001110
3111202212011110001010
410332002102212032
541411423131100
62241243430050
7246140112315
oct47602224616
914685143033
105335755150
112298992900
12104ab25326
1367059808b
1438890127c
15213679750
hex13e09298e

5335755150 has 144 divisors (see below), whose sum is σ = 15401482992. Its totient is φ = 1217356800.

The previous prime is 5335755137. The next prime is 5335755169. The reversal of 5335755150 is 515575335.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5335755099 and 5335755108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299904 + ... + 317196.

It is an arithmetic number, because the mean of its divisors is an integer number (106954743).

Almost surely, 25335755150 is an apocalyptic number.

5335755150 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 5335755150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700741496).

5335755150 is an abundant number, since it is smaller than the sum of its proper divisors (10065727842).

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

5335755150 is a wasteful number, since it uses less digits than its factorization.

5335755150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17347 (or 17331 counting only the distinct ones).

The product of its (nonzero) digits is 196875, while the sum is 39.

The square root of 5335755150 is about 73046.2534973560. The cubic root of 5335755150 is about 1747.4253459198.

The spelling of 5335755150 in words is "five billion, three hundred thirty-five million, seven hundred fifty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 121 150 165 170 187 242 255 275 330 363 374 425 510 550 561 605 726 825 850 935 1122 1210 1275 1650 1815 1870 2057 2550 2805 3025 3630 4114 4675 5610 6050 6171 9075 9350 10285 12342 14025 17293 18150 20570 28050 30855 34586 51425 51879 61710 86465 102850 103758 154275 172930 190223 259395 293981 308550 380446 432325 518790 570669 587962 864650 881943 951115 1141338 1296975 1469905 1763886 1902230 2092453 2593950 2853345 2939810 3233791 4184906 4409715 4755575 5706690 6277359 6467582 7349525 8819430 9511150 9701373 10462265 12554718 14266725 14699050 16168955 19402746 20924530 22048575 28533450 31386795 32337910 35571701 44097150 48506865 52311325 62773590 71143402 80844775 97013730 104622650 106715103 156933975 161689550 177858505 213430206 242534325 313867950 355717010 485068650 533575515 889292525 1067151030 1778585050 2667877575 5335755150