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54261369760 = 255131743127281
BaseRepresentation
bin110010100010001110…
…101100101110100000
312012001120100011222111
4302202032230232200
51342111402313020
640532145245104
73630435014203
oct624216545640
9165046304874
1054261369760
1121015146244
12a624033794
135169884cb0
1428aa67d93a
151628a47d5a
hexca23acba0

54261369760 has 384 divisors, whose sum is σ = 151287865344. Its totient is φ = 18207866880.

The previous prime is 54261369733. The next prime is 54261369779. The reversal of 54261369760 is 6796316245.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193100820 + ... + 193101100.

It is an arithmetic number, because the mean of its divisors is an integer number (393978816).

Almost surely, 254261369760 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 54261369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75643932672).

54261369760 is an abundant number, since it is smaller than the sum of its proper divisors (97026495584).

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

54261369760 is a wasteful number, since it uses less digits than its factorization.

54261369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 54261369760 in words is "fifty-four billion, two hundred sixty-one million, three hundred sixty-nine thousand, seven hundred sixty".