Search a number
-
+
33072416382 = 2341457294181
BaseRepresentation
bin11110110011010001…
…010000011001111110
310011100212120211022110
4132303101100121332
51020213014311012
623105424354450
72250364621005
oct366321203176
9104325524273
1033072416382
1113031575a25
1264aba75a26
133170a82c65
14185a501c3c
15cd872473c
hex7b345067e

33072416382 has 32 divisors (see below), whose sum is σ = 67906619424. Its totient is φ = 10731686400.

The previous prime is 33072416359. The next prime is 33072416389. The reversal of 33072416382 is 28361427033.

It is a self number, because there is not a number n which added to its sum of digits gives 33072416382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33072416389) 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, 34669 + ... + 259512.

It is an arithmetic number, because the mean of its divisors is an integer number (2122081857).

Almost surely, 233072416382 is an apocalyptic number.

33072416382 is an abundant number, since it is smaller than the sum of its proper divisors (34834203042).

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

33072416382 is a wasteful number, since it uses less digits than its factorization.

33072416382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294684.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 33072416382 in words is "thirty-three billion, seventy-two million, four hundred sixteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 41 82 123 246 457 914 1371 2742 18737 37474 56211 112422 294181 588362 882543 1765086 12061421 24122842 36184263 72368526 134440717 268881434 403322151 806644302 5512069397 11024138794 16536208191 33072416382