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54423045132 = 223173975691181
BaseRepresentation
bin110010101011110111…
…011100010000001100
312012110211120010220020
4302223313130100030
51342424244421012
641000202422140
73634440152031
oct625367342014
9165424503806
1054423045132
1121098432355
12a66a201950
1351942111b1
1428c3d27388
151637d31a8c
hexcabddc40c

54423045132 has 96 divisors (see below), whose sum is σ = 135146854080. Its totient is φ = 16986562560.

The previous prime is 54423045101. The next prime is 54423045139. The reversal of 54423045132 is 23154032445.

54423045132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×544230451324 (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54423045093 and 54423045102.

It is not an unprimeable number, because it can be changed into a prime (54423045139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46081582 + ... + 46082762.

It is an arithmetic number, because the mean of its divisors is an integer number (1407779730).

Almost surely, 254423045132 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 54423045132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67573427040).

54423045132 is an abundant number, since it is smaller than the sum of its proper divisors (80723808948).

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

54423045132 is a wasteful number, since it uses less digits than its factorization.

54423045132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 54423045132 its reverse (23154032445), we get a palindrome (77577077577).

The spelling of 54423045132 in words is "fifty-four billion, four hundred twenty-three million, forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 397 569 794 1138 1181 1191 1588 1707 2276 2362 2382 3414 3543 4724 4764 6749 6828 7086 9673 13498 14172 19346 20077 20247 26996 29019 38692 40154 40494 58038 60231 80308 80988 116076 120462 225893 240924 451786 468857 671989 677679 903572 937714 1343978 1355358 1406571 1875428 2015967 2687956 2710716 2813142 3840181 4031934 5626284 7680362 7970569 8063868 11423813 11520543 15360724 15941138 22847626 23041086 23911707 31882276 34271439 45695252 46082172 47823414 68542878 95646828 137085756 266779633 533559266 800338899 1067118532 1600677798 3201355596 4535253761 9070507522 13605761283 18141015044 27211522566 54423045132