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54131355432 = 233371115232137
BaseRepresentation
bin110010011010011110…
…101110111100101000
312011201111200202212000
4302122132232330220
51341330111333212
640511222451000
73624265633530
oct623236567450
9164644622760
1054131355432
1120a58814590
12a5a8593a60
135148962b3b
1428972b84c0
15161c4151dc
hexc9a7aef28

54131355432 has 256 divisors, whose sum is σ = 187678771200. Its totient is φ = 14044285440.

The previous prime is 54131355407. The next prime is 54131355491. The reversal of 54131355432 is 23455313145.

54131355432 is a `hidden beast` number, since 5 + 41 + 31 + 3 + 554 + 32 = 666.

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

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, 25329468 + ... + 25331604.

It is an arithmetic number, because the mean of its divisors is an integer number (733120200).

Almost surely, 254131355432 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 54131355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93839385600).

54131355432 is an abundant number, since it is smaller than the sum of its proper divisors (133547415768).

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

54131355432 is a wasteful number, since it uses less digits than its factorization.

54131355432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3683 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 54131355432 its reverse (23455313145), we get a palindrome (77586668577).

The spelling of 54131355432 in words is "fifty-four billion, one hundred thirty-one million, three hundred fifty-five thousand, four hundred thirty-two".