Search a number
-
+
68970978672 = 24341233150413
BaseRepresentation
bin100000000111011111…
…1011001110101110000
320121000201001201222120
41000032333121311300
52112223032304142
651403531234240
74661110434321
oct1001677316560
9217021051876
1068970978672
1127283357122
121144a2a8980
1366721b8aab
1434a40b2448
151bda0ea7ec
hex100efd9d70

68970978672 has 80 divisors (see below), whose sum is σ = 183305330208. Its totient is φ = 22333173760.

The previous prime is 68970978667. The next prime is 68970978683. The reversal of 68970978672 is 27687907986.

It is a junction number, because it is equal to n+sod(n) for n = 68970978597 and 68970978606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383338 + ... + 533750.

Almost surely, 268970978672 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 68970978672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91652665104).

68970978672 is an abundant number, since it is smaller than the sum of its proper divisors (114334351536).

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

68970978672 is a wasteful number, since it uses less digits than its factorization.

68970978672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150698 (or 150692 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 69.

The spelling of 68970978672 in words is "sixty-eight billion, nine hundred seventy million, nine hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 233 246 328 466 492 656 699 932 984 1398 1864 1968 2796 3728 5592 9553 11184 19106 28659 38212 57318 76424 114636 150413 152848 229272 300826 451239 458544 601652 902478 1203304 1804956 2406608 3609912 6166933 7219824 12333866 18500799 24667732 35046229 37001598 49335464 70092458 74003196 98670928 105138687 140184916 148006392 210277374 280369832 296012784 420554748 560739664 841109496 1436895389 1682218992 2873790778 4310686167 5747581556 8621372334 11495163112 17242744668 22990326224 34485489336 68970978672