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54042654325460 = 22510469325810061
BaseRepresentation
bin11000100100110110010010…
…01101101011101011010100
321002100102112111111012120212
430102123021031223223110
524040413324001403320
6310534504101344552
714245311232260233
oct1422331115535324
9232312474435525
1054042654325460
11162463a75287a9
1260899b3708158
13242027b485038
14d4b96d858b1a
1563ab906639c5
hex3126c936bad4

54042654325460 has 24 divisors (see below), whose sum is σ = 113490662503176. Its totient is φ = 21616854412160.

The previous prime is 54042654325447. The next prime is 54042654325487. The reversal of 54042654325460 is 6452345624045.

54042654325460 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 4 ways, for example, as 514057452484 + 53528596872976 = 716978^2 + 7316324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54042654325399 and 54042654325408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10811171 + ... + 14998890.

It is an arithmetic number, because the mean of its divisors is an integer number (4728777604299).

Almost surely, 254042654325460 is an apocalyptic number.

It is an amenable number.

54042654325460 is an abundant number, since it is smaller than the sum of its proper divisors (59448008177716).

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

54042654325460 is a wasteful number, since it uses less digits than its factorization.

54042654325460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25914763 (or 25914761 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 50.

The spelling of 54042654325460 in words is "fifty-four trillion, forty-two billion, six hundred fifty-four million, three hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 104693 209386 418772 523465 1046930 2093860 25810061 51620122 103240244 129050305 258100610 516201220 2702132716273 5404265432546 10808530865092 13510663581365 27021327162730 54042654325460