Search a number
-
+
68310667152 = 24327313191557
BaseRepresentation
bin111111100111101000…
…100000111110010000
320112022200120102212100
4333213220200332100
52104400012322102
651214222400400
74635542043000
oct774750407620
9215280512770
1068310667152
1126a74655322
12112a5130100
136598464510
14344050a000
151b9c167a1c
hexfe7a20f90

68310667152 has 480 divisors, whose sum is σ = 241784524800. Its totient is φ = 17889500160.

The previous prime is 68310667133. The next prime is 68310667219. The reversal of 68310667152 is 25176601386.

It is a super-2 number, since 2×683106671522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68310667098 and 68310667107.

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 95 ways as a sum of consecutive naturals, for example, 122640058 + ... + 122640614.

It is an arithmetic number, because the mean of its divisors is an integer number (503717760).

Almost surely, 268310667152 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 68310667152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120892262400).

68310667152 is an abundant number, since it is smaller than the sum of its proper divisors (173473857648).

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

68310667152 is a wasteful number, since it uses less digits than its factorization.

68310667152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 68310667152 in words is "sixty-eight billion, three hundred ten million, six hundred sixty-seven thousand, one hundred fifty-two".