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54433424120 = 23547281910271
BaseRepresentation
bin110010101100011111…
…000010001011111000
312012111120002110012012
4302230133002023320
51342434424032440
641001213105052
73634624320335
oct625437021370
9165446073165
1054433424120
11210a3281229
12a671788188
1351964063ca
1428c546998c
151638bd1e65
hexcac7c22f8

54433424120 has 64 divisors (see below), whose sum is σ = 125137612800. Its totient is φ = 21300472960.

The previous prime is 54433424047. The next prime is 54433424239. The reversal of 54433424120 is 2142433445.

54433424120 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-2 number, since 2×544334241202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5294585 + ... + 5304855.

It is an arithmetic number, because the mean of its divisors is an integer number (1955275200).

Almost surely, 254433424120 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 54433424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62568806400).

54433424120 is an abundant number, since it is smaller than the sum of its proper divisors (70704188680).

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

54433424120 is a wasteful number, since it uses less digits than its factorization.

54433424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 54433424120 its reverse (2142433445), we get a palindrome (56575857565).

The spelling of 54433424120 in words is "fifty-four billion, four hundred thirty-three million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2819 5638 10271 11276 14095 20542 22552 28190 41084 51355 56380 82168 102710 112760 132493 205420 264986 410840 482737 529972 662465 965474 1059944 1324930 1930948 2413685 2649860 3861896 4827370 5299720 9654740 19309480 28953949 57907898 115815796 144769745 231631592 289539490 579078980 1158157960 1360835603 2721671206 5443342412 6804178015 10886684824 13608356030 27216712060 54433424120