Search a number
-
+
11239076832 = 253293463863
BaseRepresentation
bin10100111011110011…
…01011001111100000
31002000021022020222220
422131321223033200
5141004200424312
65055124231040
7545341401564
oct123571531740
932007266886
1011239076832
114848190855
122217b3b480
1310a1614229
147889456a4
1545ba66c8c
hex29de6b3e0

11239076832 has 96 divisors (see below), whose sum is σ = 29701582848. Its totient is φ = 3721191936.

The previous prime is 11239076819. The next prime is 11239076833. The reversal of 11239076832 is 23867093211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239076833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13022833 + ... + 13023695.

It is an arithmetic number, because the mean of its divisors is an integer number (309391488).

Almost surely, 211239076832 is an apocalyptic number.

11239076832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11239076832 is an abundant number, since it is smaller than the sum of its proper divisors (18462506016).

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

11239076832 is a wasteful number, since it uses less digits than its factorization.

11239076832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 11239076832 in words is "eleven billion, two hundred thirty-nine million, seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 463 586 863 879 926 1172 1389 1726 1758 1852 2344 2589 2778 3452 3516 3704 4688 5178 5556 6904 7032 7408 9376 10356 11112 13808 14064 14816 20712 22224 27616 28128 41424 44448 82848 135659 252859 271318 399569 406977 505718 542636 758577 799138 813954 1011436 1085272 1198707 1517154 1598276 1627908 2022872 2170544 2397414 3034308 3196552 3255816 4045744 4341088 4794828 6068616 6393104 6511632 8091488 9589656 12137232 12786208 13023264 19179312 24274464 38358624 117073717 234147434 351221151 468294868 702442302 936589736 1404884604 1873179472 2809769208 3746358944 5619538416 11239076832