Search a number
-
+
34164545022 = 23210136375167
BaseRepresentation
bin11111110100010111…
…011001010111111110
310021011222121201011100
4133310113121113332
51024432110420042
623410040433530
72316425561346
oct376427312776
9107158551140
1034164545022
1113541aa4383
1267557788a6
1332b6108c1a
141921591d26
15d4e55324c
hex7f45d95fe

34164545022 has 48 divisors (see below), whose sum is σ = 74791109952. Its totient is φ = 11270145600.

The previous prime is 34164544979. The next prime is 34164545027. The reversal of 34164545022 is 22054546143.

34164545022 is a `hidden beast` number, since 3 + 4 + 1 + 645 + 4 + 5 + 0 + 2 + 2 = 666.

It is a super-2 number, since 2×341645450222 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164545027) 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, 6609483 + ... + 6614649.

It is an arithmetic number, because the mean of its divisors is an integer number (1558148124).

Almost surely, 234164545022 is an apocalyptic number.

34164545022 is an abundant number, since it is smaller than the sum of its proper divisors (40626564930).

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

34164545022 is a wasteful number, since it uses less digits than its factorization.

34164545022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34164545022 in words is "thirty-four billion, one hundred sixty-four million, five hundred forty-five thousand, twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 3637 5167 7274 10334 10911 15501 21822 31002 32733 46503 65466 93006 367337 521867 734674 1043734 1102011 1565601 2204022 3131202 3306033 4696803 6612066 9393606 18792379 37584758 56377137 112754274 169131411 338262822 1898030279 3796060558 5694090837 11388181674 17082272511 34164545022