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20023454144 = 262921415039
BaseRepresentation
bin10010101001011111…
…011010100111000000
31220200110122212021202
4102221133122213000
5312002001013034
613110524040332
71306125360221
oct225137324700
956613585252
1020023454144
118545799511
123a699930a8
131b714ca325
14d7d46d248
157c2d5047e
hex4a97da9c0

20023454144 has 56 divisors (see below), whose sum is σ = 41131540800. Its totient is φ = 9660062720.

The previous prime is 20023454137. The next prime is 20023454179. The reversal of 20023454144 is 44145432002.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 3971177 + ... + 3976215.

It is an arithmetic number, because the mean of its divisors is an integer number (734491800).

Almost surely, 220023454144 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 20023454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20565770400).

20023454144 is an abundant number, since it is smaller than the sum of its proper divisors (21108086656).

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

20023454144 is a wasteful number, since it uses less digits than its factorization.

20023454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 20023454144 its reverse (44145432002), we get a palindrome (64168886146).

The spelling of 20023454144 in words is "twenty billion, twenty-three million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2141 4282 5039 8564 10078 17128 20156 34256 40312 62089 68512 80624 124178 137024 146131 161248 248356 292262 322496 496712 584524 993424 1169048 1986848 2338096 3973696 4676192 9352384 10788499 21576998 43153996 86307992 172615984 312866471 345231968 625732942 690463936 1251465884 2502931768 5005863536 10011727072 20023454144