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54831716352 = 2113271922367
BaseRepresentation
bin110011000100001110…
…011001100000000000
312020112022112210102100
4303010032121200000
51344243404410402
641104521550400
73650531620230
oct630416314000
9166468483370
1054831716352
1121288090066
12a763045400
13522aa9a59a
142922307cc0
15165db5971c
hexcc4399800

54831716352 has 288 divisors, whose sum is σ = 190521676800. Its totient is φ = 14841004032.

The previous prime is 54831716351. The next prime is 54831716363. The reversal of 54831716352 is 25361713845.

It is a happy number.

54831716352 is a `hidden beast` number, since 5 + 4 + 8 + 3 + 1 + 7 + 1 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 54831716298 and 54831716307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54831716351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2440273 + ... + 2462639.

It is an arithmetic number, because the mean of its divisors is an integer number (661533600).

Almost surely, 254831716352 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 54831716352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95260838400).

54831716352 is an abundant number, since it is smaller than the sum of its proper divisors (135689960448).

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

54831716352 is a wasteful number, since it uses less digits than its factorization.

54831716352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22421 (or 22398 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 54831716352 in words is "fifty-four billion, eight hundred thirty-one million, seven hundred sixteen thousand, three hundred fifty-two".