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54416403432 = 233223417310979
BaseRepresentation
bin110010101011011110…
…000110101111101000
312012110101001201012100
4302223132012233220
51342421044402212
640555404213400
73634326540336
oct625336065750
9165411051170
1054416403432
1121094706346
12a667b3a260
135192a270b1
1428c30b8b56
15163746dbdc
hexcab786be8

54416403432 has 192 divisors, whose sum is σ = 159708931200. Its totient is φ = 16693585920.

The previous prime is 54416403421. The next prime is 54416403439. The reversal of 54416403432 is 23430461445.

54416403432 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 640 + 3 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×544164034322 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54416403439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4950919 + ... + 4961897.

It is an arithmetic number, because the mean of its divisors is an integer number (831817350).

Almost surely, 254416403432 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 54416403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79854465600).

54416403432 is an abundant number, since it is smaller than the sum of its proper divisors (105292527768).

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

54416403432 is a wasteful number, since it uses less digits than its factorization.

54416403432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 54416403432 its reverse (23430461445), we get a palindrome (77846864877).

The spelling of 54416403432 in words is "fifty-four billion, four hundred sixteen million, four hundred three thousand, four hundred thirty-two".