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5458433992704 = 2113773111719
BaseRepresentation
bin100111101101110010000…
…0001001110100000000000
3201022211011122112220000000
41033123210001032200000
51203412333100231304
615335323040000000
71102234040256000
oct117334401164000
921284148486000
105458433992704
1118149aa762510
12741a6a600000
13307960899144
1414c292436000
1596ebe135939
hex4f6e404e800

5458433992704 has 3072 divisors, whose sum is σ = 23209804800000. Its totient is φ = 1264146186240.

The previous prime is 5458433992703. The next prime is 5458433992763. The reversal of 5458433992704 is 4072993348545.

5458433992704 is a `hidden beast` number, since 5 + 45 + 8 + 433 + 9 + 92 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×54584339927042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458433992703) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 287285999607 + ... + 287285999625.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275000).

Almost surely, 25458433992704 is an apocalyptic number.

5458433992704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5458433992704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604902400000).

5458433992704 is an abundant number, since it is smaller than the sum of its proper divisors (17751370807296).

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

5458433992704 is an equidigital number, since it uses as much as digits as its factorization.

5458433992704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5458433992704 in words is "five trillion, four hundred fifty-eight billion, four hundred thirty-three million, nine hundred ninety-two thousand, seven hundred four".