Search a number
-
+
36424230432 = 2537931115443
BaseRepresentation
bin100001111011000011…
…011010011000100000
310111000110121121210120
4201323003122120200
51044044100333212
624422201400240
72426424564432
oct417303323040
9114013547716
1036424230432
11144a158a487
127086499080
133586307295
141a97728652
15e32b0e88c
hex87b0da620

36424230432 has 96 divisors (see below), whose sum is σ = 97141524480. Its totient is φ = 11948401920.

The previous prime is 36424230389. The next prime is 36424230467. The reversal of 36424230432 is 23403242463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36424230393 and 36424230402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350903 + ... + 2366345.

It is an arithmetic number, because the mean of its divisors is an integer number (1011890880).

Almost surely, 236424230432 is an apocalyptic number.

36424230432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36424230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48570762240).

36424230432 is an abundant number, since it is smaller than the sum of its proper divisors (60717294048).

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

36424230432 is a wasteful number, since it uses less digits than its factorization.

36424230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15846 (or 15838 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 36424230432 its reverse (23403242463), we get a palindrome (59827472895).

The spelling of 36424230432 in words is "thirty-six billion, four hundred twenty-four million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 311 316 474 622 632 933 948 1244 1264 1866 1896 2488 2528 3732 3792 4976 7464 7584 9952 14928 15443 24569 29856 30886 46329 49138 61772 73707 92658 98276 123544 147414 185316 196552 247088 294828 370632 393104 494176 589656 741264 786208 1179312 1219997 1482528 2358624 2439994 3659991 4802773 4879988 7319982 9605546 9759976 14408319 14639964 19211092 19519952 28816638 29279928 38422184 39039904 57633276 58559856 76844368 115266552 117119712 153688736 230533104 379419067 461066208 758838134 1138257201 1517676268 2276514402 3035352536 4553028804 6070705072 9106057608 12141410144 18212115216 36424230432