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54020432232 = 233213243310253
BaseRepresentation
bin110010010011110111…
…100110000101101000
312011102202222021211100
4302103313212011220
51341113212312412
640452221201400
73621451045344
oct622367460550
9164382867740
1054020432232
1120a01142318
12a577400260
13512b996500
142886682624
151612803edc
hexc93de6168

54020432232 has 144 divisors (see below), whose sum is σ = 158806671660. Its totient is φ = 16581666816.

The previous prime is 54020432209. The next prime is 54020432237. The reversal of 54020432232 is 23223402045.

It is a happy number.

54020432232 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 106378596 + 53914053636 = 10314^2 + 232194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54020432196 and 54020432205.

It is not an unprimeable number, because it can be changed into a prime (54020432237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5263618 + ... + 5273870.

Almost surely, 254020432232 is an apocalyptic number.

54020432232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54020432232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79403335830).

54020432232 is an abundant number, since it is smaller than the sum of its proper divisors (104786239428).

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

54020432232 is a wasteful number, since it uses less digits than its factorization.

54020432232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 54020432232 its reverse (23223402045), we get a palindrome (77243834277).

The spelling of 54020432232 in words is "fifty-four billion, twenty million, four hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 433 468 507 676 866 936 1014 1299 1352 1521 1732 2028 2598 3042 3464 3897 4056 5196 5629 6084 7794 10253 10392 11258 12168 15588 16887 20506 22516 30759 31176 33774 41012 45032 50661 61518 67548 73177 82024 92277 101322 123036 133289 135096 146354 184554 202644 219531 246072 266578 292708 369108 399867 405288 439062 533156 585416 658593 738216 799734 878124 1066312 1199601 1317186 1599468 1732757 1756248 2399202 2634372 3198936 3465514 4439549 4798404 5198271 5268744 6931028 8879098 9596808 10396542 13318647 13862056 15594813 17758196 20793084 26637294 31189626 35516392 39955941 41586168 53274588 57714137 62379252 79911882 106549176 115428274 124758504 159823764 173142411 230856548 319647528 346284822 461713096 519427233 692569644 750283781 1038854466 1385139288 1500567562 2077708932 2250851343 3001135124 4155417864 4501702686 6002270248 6752554029 9003405372 13505108058 18006810744 27010216116 54020432232