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54040151808 = 28364761101
BaseRepresentation
bin110010010101000010…
…110100011100000000
312011111011002011000000
4302111002310130000
51341133234324213
640454204000000
73622110465666
oct622502643400
9164434064000
1054040151808
1120a11290995
12a581b30000
135132aac0b6
142889136c36
1516143ebc73
hexc950b4700

54040151808 has 504 divisors, whose sum is σ = 169540773696. Its totient is φ = 17169408000.

The previous prime is 54040151807. The next prime is 54040151821. The reversal of 54040151808 is 80815104045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54040151807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 535050958 + ... + 535051058.

It is an arithmetic number, because the mean of its divisors is an integer number (336390424).

Almost surely, 254040151808 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 54040151808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84770386848).

54040151808 is an abundant number, since it is smaller than the sum of its proper divisors (115500621888).

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

54040151808 is an equidigital number, since it uses as much as digits as its factorization.

54040151808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 54040151808 in words is "fifty-four billion, forty million, one hundred fifty-one thousand, eight hundred eight".