Search a number
-
+
42782833107 = 3272101960527
BaseRepresentation
bin100111110110000011…
…100011100111010011
311002102121110002212100
4213312003203213103
51200104401124412
631353144331443
73043125036600
oct476603434723
9132377402770
1042782833107
1117164880813
12835ba73b83
13405a77ba81
1420dc0036a7
1511a5e7eedc
hex9f60e39d3

42782833107 has 36 divisors (see below), whose sum is σ = 72598627296. Its totient is φ = 24205255200.

The previous prime is 42782833091. The next prime is 42782833109. The reversal of 42782833107 is 70133828724.

It is not a de Polignac number, because 42782833107 - 24 = 42782833091 is a prime.

It is a super-2 number, since 2×427828331072 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42782833109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435723 + ... + 524804.

It is an arithmetic number, because the mean of its divisors is an integer number (2016628536).

Almost surely, 242782833107 is an apocalyptic number.

42782833107 is a deficient number, since it is larger than the sum of its proper divisors (29815794189).

42782833107 is a wasteful number, since it uses less digits than its factorization.

42782833107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960648 (or 960638 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 42782833107 in words is "forty-two billion, seven hundred eighty-two million, eight hundred thirty-three thousand, one hundred seven".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 2121 4949 6363 14847 44541 960527 2881581 6723689 8644743 20171067 47065823 60513201 97013227 141197469 291039681 423592407 679092589 873119043 2037277767 4753648123 6111833301 14260944369 42782833107