Search a number
-
+
32996429424 = 24327109300317
BaseRepresentation
bin11110101110101111…
…011000111001110000
310011011120121021210200
4132232233120321300
51020034041220144
623054111555200
72245453010460
oct365657307160
9104146537720
1032996429424
1112aa2695892
12648a52bb00
13315b0c936a
1418503a1ba0
15cd1c14c69
hex7aebd8e70

32996429424 has 120 divisors (see below), whose sum is σ = 106504775520. Its totient is φ = 9341028864.

The previous prime is 32996429423. The next prime is 32996429447. The reversal of 32996429424 is 42492469923.

32996429424 is a `hidden beast` number, since 3 + 299 + 64 + 294 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32996429423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40287 + ... + 260030.

It is an arithmetic number, because the mean of its divisors is an integer number (887539796).

Almost surely, 232996429424 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 32996429424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53252387760).

32996429424 is an abundant number, since it is smaller than the sum of its proper divisors (73508346096).

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

32996429424 is a wasteful number, since it uses less digits than its factorization.

32996429424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300447 (or 300438 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 32996429424 in words is "thirty-two billion, nine hundred ninety-six million, four hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 327 336 436 504 654 763 872 981 1008 1308 1526 1744 1962 2289 2616 3052 3924 4578 5232 6104 6867 7848 9156 12208 13734 15696 18312 27468 36624 54936 109872 300317 600634 900951 1201268 1801902 2102219 2402536 2702853 3603804 4204438 4805072 5405706 6306657 7207608 8408876 10811412 12613314 14415216 16817752 18919971 21622824 25226628 32734553 33635504 37839942 43245648 50453256 65469106 75679884 98203659 100906512 130938212 151359768 196407318 229141871 261876424 294610977 302719536 392814636 458283742 523752848 589221954 687425613 785629272 916567484 1178443908 1374851226 1571258544 1833134968 2062276839 2356887816 2749702452 3666269936 4124553678 4713775632 5499404904 8249107356 10998809808 16498214712 32996429424