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68818604454 = 23329212312
BaseRepresentation
bin100000000010111101…
…0001001000110100110
320120122002100022212000
41000011322021012212
52111420030320304
651340445310130
74654250325525
oct1000572110646
9216562308760
1068818604454
1127205343116
1211407265346
136649768332
14348bb6a4bc
151bcba4c939
hex1005e891a6

68818604454 has 72 divisors (see below), whose sum is σ = 158514300360. Its totient is φ = 22130524080.

The previous prime is 68818604441. The next prime is 68818604501. The reversal of 68818604454 is 45440681886.

It is a happy number.

68818604454 is a `hidden beast` number, since 6 + 8 + 8 + 186 + 0 + 4 + 454 = 666.

It is a super-2 number, since 2×688186044542 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 68818604454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55904019 + ... + 55905249.

It is an arithmetic number, because the mean of its divisors is an integer number (2201587505).

Almost surely, 268818604454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68818604454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79257150180).

68818604454 is an abundant number, since it is smaller than the sum of its proper divisors (89695695906).

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

68818604454 is an equidigital number, since it uses as much as digits as its factorization.

68818604454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

Multiplying 68818604454 by its sum of digits (54), we get a square (3716204640516 = 19277462).

68818604454 divided by its sum of digits (54) gives a square (1274418601 = 356992).

The spelling of 68818604454 in words is "sixty-eight billion, eight hundred eighteen million, six hundred four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 841 1231 1566 1682 2462 2523 3693 5046 7386 7569 11079 15138 22158 22707 33237 35699 45414 66474 71398 107097 214194 321291 642582 963873 1035271 1515361 1927746 2070542 3030722 3105813 4546083 6211626 9092166 9317439 13638249 18634878 27276498 27952317 40914747 43945469 55904634 81829494 87890938 131836407 263672814 395509221 791018442 1186527663 1274418601 2373055326 2548837202 3823255803 7646511606 11469767409 22939534818 34409302227 68818604454