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54016159680 = 2632574362311
BaseRepresentation
bin110010010011100111…
…010010111111000000
312011102110221012222200
4302103213102333000
51341111114102210
640451545433200
73621366532050
oct622347227700
9164373835880
1054016159680
11209a979428a
12a575a9b800
13512ab2b882
142885c8d560
15161225d0c0
hexc939d2fc0

54016159680 has 336 divisors, whose sum is σ = 217276460544. Its totient is φ = 12059228160.

The previous prime is 54016159661. The next prime is 54016159697. The reversal of 54016159680 is 8695161045.

54016159680 is a `hidden beast` number, since 5 + 40 + 16 + 1 + 596 + 8 + 0 = 666.

54016159680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835725 + ... + 898035.

Almost surely, 254016159680 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 54016159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108638230272).

54016159680 is an abundant number, since it is smaller than the sum of its proper divisors (163260300864).

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

54016159680 is a wasteful number, since it uses less digits than its factorization.

54016159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62384 (or 62371 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 54016159680 in words is "fifty-four billion, sixteen million, one hundred fifty-nine thousand, six hundred eighty".