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20100434144 = 25789734081
BaseRepresentation
bin10010101110000101…
…000100100011100000
31220212211111211222212
4102232011010203200
5312131202343034
613122314021252
71311051604550
oct225605044340
956784454885
1020100434144
11858519774a
123a8b717828
131b84440c1b
14d8978b160
157c99a92ce
hex4ae1448e0

20100434144 has 24 divisors (see below), whose sum is σ = 45225977328. Its totient is φ = 8614471680.

The previous prime is 20100434129. The next prime is 20100434173. The reversal of 20100434144 is 44143400102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44866817 + ... + 44867264.

It is an arithmetic number, because the mean of its divisors is an integer number (1884415722).

Almost surely, 220100434144 is an apocalyptic number.

It is an amenable number.

20100434144 is an abundant number, since it is smaller than the sum of its proper divisors (25125543184).

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

20100434144 is an equidigital number, since it uses as much as digits as its factorization.

20100434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89734098 (or 89734090 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20100434144 its reverse (44143400102), we get a palindrome (64243834246).

The spelling of 20100434144 in words is "twenty billion, one hundred million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 89734081 179468162 358936324 628138567 717872648 1256277134 1435745296 2512554268 2871490592 5025108536 10050217072 20100434144