Search a number
-
+
33053235033 = 3721321181973
BaseRepresentation
bin11110110010001000…
…000101011101011001
310011022112111022110010
4132302020011131121
51020143112010113
623103501312133
72250042601500
oct366210053531
9104275438403
1033053235033
1113021764775
1264a5565649
133169ac8350
141857b4b837
15cd6bd61c3
hex7b2205759

33053235033 has 48 divisors (see below), whose sum is σ = 55472133696. Its totient is φ = 17351832960.

The previous prime is 33053235023. The next prime is 33053235037.

33053235033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33053235033 - 28 = 33053234777 is a prime.

It is a super-3 number, since 3×330532350333 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33053235037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362235 + ... + 444207.

It is an arithmetic number, because the mean of its divisors is an integer number (1155669452).

Almost surely, 233053235033 is an apocalyptic number.

It is an amenable number.

33053235033 is a deficient number, since it is larger than the sum of its proper divisors (22418898663).

33053235033 is a wasteful number, since it uses less digits than its factorization.

33053235033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82214 (or 82207 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 30.

The spelling of 33053235033 in words is "thirty-three billion, fifty-three million, two hundred thirty-five thousand, thirty-three".

Divisors: 1 3 7 13 21 39 49 91 147 211 273 633 637 1477 1911 2743 4431 8229 10339 19201 31017 57603 81973 134407 245919 403221 573811 1065649 1721433 3196947 4016677 7459543 12050031 17296303 22378629 51888909 52216801 121074121 156650403 224851939 363222363 674555817 847518847 1573963573 2542556541 4721890719 11017745011 33053235033