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54020442400 = 255267525553
BaseRepresentation
bin110010010011110111…
…101000100100100000
312011102202222210202221
4302103313220210200
51341113213124100
640452221320424
73621451120111
oct622367504440
9164382883687
1054020442400
1120a01149a21
12a577406114
13512b99b022
142886686208
15161280701a
hexc93de8920

54020442400 has 36 divisors (see below), whose sum is σ = 131877406962. Its totient is φ = 21608176640.

The previous prime is 54020442397. The next prime is 54020442467. The reversal of 54020442400 is 424402045.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24660305296 + 29360137104 = 157036^2 + 171348^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33761977 + ... + 33763576.

Almost surely, 254020442400 is an apocalyptic number.

54020442400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54020442400 is an abundant number, since it is smaller than the sum of its proper divisors (77856964562).

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

54020442400 is a wasteful number, since it uses less digits than its factorization.

54020442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67525573 (or 67525560 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 54020442400 its reverse (424402045), we get a palindrome (54444844445).

The spelling of 54020442400 in words is "fifty-four billion, twenty million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 67525553 135051106 270102212 337627765 540204424 675255530 1080408848 1350511060 1688138825 2160817696 2701022120 3376277650 5402044240 6752555300 10804088480 13505110600 27010221200 54020442400