Search a number
-
+
29427638473422 = 232734766381353
BaseRepresentation
bin1101011000011101001111…
…11100000001001011001110
310212012020212201111121220200
412230032213330001023032
512324120300422122142
6142330512005154330
76125035212603000
oct654164774011316
9125166781447820
1029427638473422
119416211817732
1233733346bb9a6
13135602583bc37
1473a43ba68370
153607315ad64c
hex1ac3a7f012ce

29427638473422 has 48 divisors (see below), whose sum is σ = 74355549122400. Its totient is φ = 8407896704928.

The previous prime is 29427638473421. The next prime is 29427638473451. The reversal of 29427638473422 is 22437483672492.

29427638473422 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 7 + 63 + 84 + 73 + 422 = 666.

It is a super-2 number, since 2×294276384734222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 29427638473422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29427638473421) 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 23 ways as a sum of consecutive naturals, for example, 2383184503 + ... + 2383196850.

It is an arithmetic number, because the mean of its divisors is an integer number (1549073940050).

Almost surely, 229427638473422 is an apocalyptic number.

29427638473422 is an abundant number, since it is smaller than the sum of its proper divisors (44927910648978).

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

29427638473422 is a wasteful number, since it uses less digits than its factorization.

29427638473422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766381382 (or 4766381365 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 63.

The spelling of 29427638473422 in words is "twenty-nine trillion, four hundred twenty-seven billion, six hundred thirty-eight million, four hundred seventy-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 4766381353 9532762706 14299144059 28598288118 33364669471 42897432177 66729338942 85794864354 100094008413 200188016826 233552686297 300282025239 467105372594 600564050478 700658058891 1401316117782 1634868804079 2101974176673 3269737608158 4203948353346 4904606412237 9809212824474 14713819236711 29427638473422