Search a number
-
+
29795246336 = 28379732429
BaseRepresentation
bin11011101111111011…
…110110000100000000
32211220111000100011002
4123233323312010000
5442010040340321
621404315311132
72103232262252
oct335773660400
984814010132
1029795246336
11116aa704629
12593644b4a8
132a6ab3519b
141629189cd2
15b95b8120b
hex6efef6100

29795246336 has 72 divisors (see below), whose sum is σ = 61713122520. Its totient is φ = 14345109504.

The previous prime is 29795246309. The next prime is 29795246357. The reversal of 29795246336 is 63364259792.

It can be written as a sum of positive squares in 4 ways, for example, as 12544000000 + 17251246336 = 112000^2 + 131344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902570 + ... + 934998.

Almost surely, 229795246336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29795246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30856561260).

29795246336 is an abundant number, since it is smaller than the sum of its proper divisors (31917876184).

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

29795246336 is an equidigital number, since it uses as much as digits as its factorization.

29795246336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32579 (or 32565 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 56.

The spelling of 29795246336 in words is "twenty-nine billion, seven hundred ninety-five million, two hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 97 128 148 194 256 296 388 592 776 1184 1552 2368 3104 3589 4736 6208 7178 9472 12416 14356 24832 28712 32429 57424 64858 114848 129716 229696 259432 459392 518864 918784 1037728 1199873 2075456 2399746 3145613 4150912 4799492 6291226 8301824 9598984 12582452 19197968 25164904 38395936 50329808 76791872 100659616 116387681 153583744 201319232 232775362 307167488 402638464 465550724 805276928 931101448 1862202896 3724405792 7448811584 14897623168 29795246336