Search a number
-
+
33980438271 = 3131934514473
BaseRepresentation
bin11111101001011001…
…000101011011111111
310020201011012010011210
4133221121011123333
51024042443011041
623335502415503
72312031650103
oct375131053377
9106634163153
1033980438271
111345808723a
126703b91593
133286c27a10
141904d49903
15d3d2d8016
hex7e96456ff

33980438271 has 16 divisors (see below), whose sum is σ = 49045245536. Its totient is φ = 20802686976.

The previous prime is 33980438263. The next prime is 33980438291. The reversal of 33980438271 is 17283408933.

It is not a de Polignac number, because 33980438271 - 23 = 33980438263 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33980438271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33980438291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249710 + ... + 2264763.

It is an arithmetic number, because the mean of its divisors is an integer number (3065327846).

Almost surely, 233980438271 is an apocalyptic number.

33980438271 is a deficient number, since it is larger than the sum of its proper divisors (15064807265).

33980438271 is a wasteful number, since it uses less digits than its factorization.

33980438271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514682.

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 33980438271 in words is "thirty-three billion, nine hundred eighty million, four hundred thirty-eight thousand, two hundred seventy-one".

Divisors: 1 3 13 39 193 579 2509 7527 4514473 13543419 58688149 176064447 871293289 2613879867 11326812757 33980438271