Search a number
-
+
135432210004 = 2271361299991
BaseRepresentation
bin111111000100001100…
…0111000011001010100
3110221120111121002211221
41332020120320121110
54204331121210004
6142114450140124
712533064535210
oct1761030703124
9427514532757
10135432210004
1152488a51993
12222b7b81644
13ca04441890
1467aab17940
1537c9be2354
hex1f88638654

135432210004 has 72 divisors (see below), whose sum is σ = 296563473024. Its totient is φ = 52698729600.

The previous prime is 135432209999. The next prime is 135432210031. The reversal of 135432210004 is 400012234531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304449 + ... + 1404439.

Almost surely, 2135432210004 is an apocalyptic number.

135432210004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135432210004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148281736512).

135432210004 is an abundant number, since it is smaller than the sum of its proper divisors (161131263020).

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

135432210004 is a wasteful number, since it uses less digits than its factorization.

135432210004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100137 (or 100074 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 135432210004 its reverse (400012234531), we get a palindrome (535444444535).

The spelling of 135432210004 in words is "one hundred thirty-five billion, four hundred thirty-two million, two hundred ten thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 244 364 427 793 854 1586 1708 3172 3721 5551 7442 11102 14884 22204 26047 48373 52094 96746 99991 104188 193492 199982 338611 399964 677222 699937 1299883 1354444 1399874 2599766 2799748 5199532 6099451 9099181 12198902 18198362 24397804 36396724 42696157 79292863 85392314 158585726 170784628 317171452 372066511 555050041 744133022 1110100082 1488266044 2220200164 2604465577 4836864643 5208931154 9673729286 10417862308 19347458572 33858052501 67716105002 135432210004