Search a number
-
+
68456990400 = 2635214261873
BaseRepresentation
bin111111110000010110…
…101100011011000000
320112200212220102121220
4333300112230123000
52110144442143100
651240530515040
74642266550251
oct776026543300
9215625812556
1068456990400
112703a206127
1211326135a80
1365bc876a16
143455b18b28
151ba9e1caa0
hexff05ac6c0

68456990400 has 84 divisors (see below), whose sum is σ = 224595991752. Its totient is φ = 18255196160.

The previous prime is 68456990389. The next prime is 68456990449. The reversal of 68456990400 is 409965486.

68456990400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7126137 + ... + 7135736.

Almost surely, 268456990400 is an apocalyptic number.

68456990400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68456990400 is an abundant number, since it is smaller than the sum of its proper divisors (156139001352).

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

68456990400 is a wasteful number, since it uses less digits than its factorization.

68456990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14261898 (or 14261883 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 68456990400 in words is "sixty-eight billion, four hundred fifty-six million, nine hundred ninety thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 14261873 28523746 42785619 57047492 71309365 85571238 114094984 142618730 171142476 213928095 228189968 285237460 342284952 356546825 427856190 456379936 570474920 684569904 713093650 855712380 912759872 1069640475 1140949840 1369139808 1426187300 1711424760 2139280950 2281899680 2738279616 2852374600 3422849520 4278561900 4563799360 5704749200 6845699040 8557123800 11409498400 13691398080 17114247600 22818996800 34228495200 68456990400