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53926871040 = 214375743
BaseRepresentation
bin110010001110010010…
…101100000000000000
312011012020220220000000
4302032102230000000
51340420234333130
640435040000000
73616233561240
oct621622540000
9164166826000
1053926871040
1120963349419
12a550000000
135115498663
142878089b20
1516094c2260
hexc8e4ac000

53926871040 has 960 divisors, whose sum is σ = 226988805120. Its totient is φ = 12039487488.

The previous prime is 53926870999. The next prime is 53926871051. The reversal of 53926871040 is 4017862935.

53926871040 is a `hidden beast` number, since 539 + 2 + 6 + 8 + 7 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254113259 + ... + 1254113301.

It is an arithmetic number, because the mean of its divisors is an integer number (236446672).

It is a 1-persistent number, because it is pandigital, but 2⋅53926871040 = 107853742080 is not.

Almost surely, 253926871040 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 53926871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113494402560).

53926871040 is an abundant number, since it is smaller than the sum of its proper divisors (173061934080).

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

53926871040 is an frugal number, since it uses more digits than its factorization.

53926871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 53926871040 in words is "fifty-three billion, nine hundred twenty-six million, eight hundred seventy-one thousand, forty".