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54059040036 = 2234129172
BaseRepresentation
bin110010010110001010…
…110111110100100100
312011112110121202210000
4302112022313310210
51341203103240121
640500120501300
73622430154501
oct622612676444
9164473552700
1054059040036
1120a20a119a1
12a58831a830
135136993471
14288b8524a8
151615dcd526
hexc962b7d24

54059040036 has 45 divisors (see below), whose sum is σ = 141331950529. Its totient is φ = 18018284976.

The previous prime is 54059040019. The next prime is 54059040037. The reversal of 54059040036 is 63004095045.

It is a happy number.

The square root of 54059040036 is 232506.

It is a perfect power (a square), and thus also a powerful number.

54059040036 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 only one way, i.e., 29580560100 + 24478479936 = 171990^2 + 156456^2 .

It is a super-2 number, since 2×540590400362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54059040037) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4178650 + ... + 4191566.

Almost surely, 254059040036 is an apocalyptic number.

54059040036 is the 232506-th square number.

It is an amenable number.

54059040036 is an abundant number, since it is smaller than the sum of its proper divisors (87272910493).

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

54059040036 is an frugal number, since it uses more digits than its factorization.

54059040036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25850 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 54059040036 by its sum of digits (36), we get a square (1946125441296 = 13950362).

54059040036 divided by its sum of digits (36) gives a square (1501640001 = 387512).

The spelling of 54059040036 in words is "fifty-four billion, fifty-nine million, forty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 12917 25834 38751 51668 77502 116253 155004 232506 348759 465012 697518 1046277 1395036 2092554 4185108 166848889 333697778 500546667 667395556 1001093334 1501640001 2002186668 3003280002 4504920003 6006560004 9009840006 13514760009 18019680012 27029520018 54059040036