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54445011400 = 23521320940389
BaseRepresentation
bin110010101101001011…
…001111000111001000
312012112100220010221201
4302231023033013020
51343000410331100
641002305313544
73635124650443
oct625513170710
9165470803851
1054445011400
11210a987599a
12a6756358b4
1351989325a0
1428c6c0465a
151639c2036a
hexcad2cf1c8

54445011400 has 48 divisors (see below), whose sum is σ = 136321938900. Its totient is φ = 20102772480.

The previous prime is 54445011391. The next prime is 54445011403. The reversal of 54445011400 is 411054445.

54445011400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1099718244 + 53345293156 = 33162^2 + 230966^2 .

It is a super-2 number, since 2×544450114002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54445011403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10467595 + ... + 10472794.

Almost surely, 254445011400 is an apocalyptic number.

54445011400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54445011400 is an abundant number, since it is smaller than the sum of its proper divisors (81876927500).

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

54445011400 is a wasteful number, since it uses less digits than its factorization.

54445011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20940418 (or 20940409 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 54445011400 its reverse (411054445), we get a palindrome (54856065845).

The spelling of 54445011400 in words is "fifty-four billion, four hundred forty-five million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 20940389 41880778 83761556 104701945 167523112 209403890 272225057 418807780 523509725 544450114 837615560 1047019450 1088900228 1361125285 2094038900 2177800456 2722250570 4188077800 5444501140 6805626425 10889002280 13611252850 27222505700 54445011400