Search a number
-
+
9963426150 = 23252196131901
BaseRepresentation
bin10010100011101110…
…11101000101100110
3221201100221111020100
421101313131011212
5130401114114100
64324354444530
7501621503436
oct112167350546
927640844210
109963426150
114253104597
121b20893746
13c2a253242
146a73622c6
153d4a86400
hex251ddd166

9963426150 has 144 divisors (see below), whose sum is σ = 28238081040. Its totient is φ = 2511648000.

The previous prime is 9963426139. The next prime is 9963426163. The reversal of 9963426150 is 516243699.

9963426150 is a `hidden beast` number, since 9 + 9 + 634 + 2 + 6 + 1 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9963426096 and 9963426105.

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, 5240200 + ... + 5242100.

It is an arithmetic number, because the mean of its divisors is an integer number (196097785).

Almost surely, 29963426150 is an apocalyptic number.

9963426150 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 9963426150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119040520).

9963426150 is an abundant number, since it is smaller than the sum of its proper divisors (18274654890).

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

9963426150 is a wasteful number, since it uses less digits than its factorization.

With its successor (9963426151) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2551).

9963426150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9963426150 is about 99816.9632377183. The cubic root of 9963426150 is about 2151.8049490568.

The spelling of 9963426150 in words is "nine billion, nine hundred sixty-three million, four hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 613 855 950 1226 1425 1710 1839 1901 2850 3065 3678 3802 4275 5517 5703 6130 8550 9195 9505 11034 11406 11647 15325 17109 18390 19010 23294 27585 28515 30650 34218 34941 36119 45975 47525 55170 57030 58235 69882 72238 85545 91950 95050 104823 108357 116470 137925 142575 171090 174705 180595 209646 216714 275850 285150 291175 325071 349410 361190 427725 524115 541785 582350 650142 855450 873525 902975 1048230 1083570 1165313 1625355 1747050 1805950 2330626 2620575 2708925 3250710 3495939 5241150 5417850 5826565 6991878 8126775 10487817 11653130 16253550 17479695 20975634 22140947 29132825 34959390 44281894 52439085 58265650 66422841 87398475 104878170 110704735 132845682 174796950 199268523 221409470 262195425 332114205 398537046 524390850 553523675 664228410 996342615 1107047350 1660571025 1992685230 3321142050 4981713075 9963426150