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20434402144 = 2513283173573
BaseRepresentation
bin10011000001111111…
…000011101101100000
31221202002221011222001
4103001333003231200
5313322201332034
613215404053344
71322245360312
oct230177035540
957662834861
1020434402144
118736761862
123b63534254
131c086a2b20
14dbbc837b2
157e8e77a14
hex4c1fc3b60

20434402144 has 48 divisors (see below), whose sum is σ = 43478204112. Its totient is φ = 9397882368.

The previous prime is 20434402127. The next prime is 20434402171. The reversal of 20434402144 is 44120443402.

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 7 ways as a sum of consecutive naturals, for example, 30942 + ... + 204514.

It is an arithmetic number, because the mean of its divisors is an integer number (905795919).

Almost surely, 220434402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739102056).

20434402144 is an abundant number, since it is smaller than the sum of its proper divisors (23043801968).

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

20434402144 is a wasteful number, since it uses less digits than its factorization.

20434402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173879 (or 173871 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20434402144 its reverse (44120443402), we get a palindrome (64554845546).

The spelling of 20434402144 in words is "twenty billion, four hundred thirty-four million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 283 416 566 1132 2264 3679 4528 7358 9056 14716 29432 58864 117728 173573 347146 694292 1388584 2256449 2777168 4512898 5554336 9025796 18051592 36103184 49121159 72206368 98242318 196484636 392969272 638575067 785938544 1277150134 1571877088 2554300268 5108600536 10217201072 20434402144