Search a number
-
+
68125923911808 = 27337231413071031
BaseRepresentation
bin11110111110101110011010…
…11111101010100010000000
322221012202220202211102122000
433133113031133222202000
532412133343010134213
6400520341204544000
720230635621514200
oct1737271537524200
9287182822742560
1068125923911808
111a786051011044
1277833160b2000
132c02329a34a69
1412b7452da2400
157d21a1ac6c73
hex3df5cd7ea880

68125923911808 has 1536 divisors, whose sum is σ = 248373186969600. Its totient is φ = 18299602944000.

The previous prime is 68125923911753. The next prime is 68125923911879. The reversal of 68125923911808 is 80811932952186.

68125923911808 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 592 + 39 + 1 + 1 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×681259239118082 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66077520253 + ... + 66077521283.

It is an arithmetic number, because the mean of its divisors is an integer number (161701293600).

Almost surely, 268125923911808 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 68125923911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124186593484800).

68125923911808 is an abundant number, since it is smaller than the sum of its proper divisors (180247263057792).

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

68125923911808 is a wasteful number, since it uses less digits than its factorization.

68125923911808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 68125923911808 in words is "sixty-eight trillion, one hundred twenty-five billion, nine hundred twenty-three million, nine hundred eleven thousand, eight hundred eight".