Search a number
-
+
67678382208 = 273487361901
BaseRepresentation
bin111111000001111100…
…100010100010000000
320110200121211000222110
4333001330202202000
52102101131212313
651031354335320
74614063520443
oct770174424200
9213617730873
1067678382208
112677a756288
121114942a540
1364c7473908
1433c055b65a
151b618bdec3
hexfc1f22880

67678382208 has 64 divisors (see below), whose sum is σ = 180140339520. Its totient is φ = 22513075200.

The previous prime is 67678382197. The next prime is 67678382243. The reversal of 67678382208 is 80228387676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058 + ... + 367958.

It is an arithmetic number, because the mean of its divisors is an integer number (2814692805).

Almost surely, 267678382208 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 67678382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90070169760).

67678382208 is an abundant number, since it is smaller than the sum of its proper divisors (112461957312).

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

67678382208 is a wasteful number, since it uses less digits than its factorization.

67678382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362405 (or 362393 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 67678382208 in words is "sixty-seven billion, six hundred seventy-eight million, three hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 487 974 1461 1948 2922 3896 5844 7792 11688 15584 23376 31168 46752 62336 93504 187008 361901 723802 1085703 1447604 2171406 2895208 4342812 5790416 8685624 11580832 17371248 23161664 34742496 46323328 69484992 138969984 176245787 352491574 528737361 704983148 1057474722 1409966296 2114949444 2819932592 4229898888 5639865184 8459797776 11279730368 16919595552 22559460736 33839191104 67678382208