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20033342144 = 268331312049
BaseRepresentation
bin10010101010000101…
…001000101011000000
31220201011021020001222
4102222011020223000
5312012013422034
613111520014212
71306305412214
oct225205105300
956634236058
1020033342144
118550332512
123a71161368
131b7357cc0a
14d808c4944
157c3b5512e
hex4aa148ac0

20033342144 has 56 divisors (see below), whose sum is σ = 40364511600. Its totient is φ = 9863553024.

The previous prime is 20033342117. The next prime is 20033342149. The reversal of 20033342144 is 44124333002.

It is not an unprimeable number, because it can be changed into a prime (20033342149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1656632 + ... + 1668680.

It is an arithmetic number, because the mean of its divisors is an integer number (720794850).

Almost surely, 220033342144 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 20033342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20182255800).

20033342144 is an abundant number, since it is smaller than the sum of its proper divisors (20331169456).

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

20033342144 is a wasteful number, since it uses less digits than its factorization.

20033342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12457 (or 12447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 20033342144 its reverse (44124333002), we get a palindrome (64157675146).

The spelling of 20033342144 in words is "twenty billion, thirty-three million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 166 313 332 626 664 1252 1328 2504 2656 5008 5312 10016 12049 20032 24098 25979 48196 51958 96392 103916 192784 207832 385568 415664 771136 831328 1000067 1662656 2000134 3771337 4000268 7542674 8000536 15085348 16001072 30170696 32002144 60341392 64004288 120682784 241365568 313020971 626041942 1252083884 2504167768 5008335536 10016671072 20033342144