Search a number
-
+
68919761568 = 25371959191479
BaseRepresentation
bin100000000101111110…
…0000001101010100000
320120220010200122022210
41000023330001222200
52112121424332233
651354501402120
74656616210320
oct1001374015240
9216803618283
1068919761568
1127257454a39
1211435109340
1366646c5708
14349b37d280
151bd5880163
hex100bf01aa0

68919761568 has 384 divisors, whose sum is σ = 222953472000. Its totient is φ = 18204687360.

The previous prime is 68919761567. The next prime is 68919761569. The reversal of 68919761568 is 86516791986.

It is an interprime number because it is at equal distance from previous prime (68919761567) and next prime (68919761569).

Its product of digits (39191040) is a multiple of the sum of its prime factors (768).

It is a junction number, because it is equal to n+sod(n) for n = 68919761499 and 68919761508.

It is not an unprimeable number, because it can be changed into a prime (68919761567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143882353 + ... + 143882831.

It is an arithmetic number, because the mean of its divisors is an integer number (580608000).

Almost surely, 268919761568 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 68919761568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111476736000).

68919761568 is an abundant number, since it is smaller than the sum of its proper divisors (154033710432).

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

68919761568 is a wasteful number, since it uses less digits than its factorization.

68919761568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The spelling of 68919761568 in words is "sixty-eight billion, nine hundred nineteen million, seven hundred sixty-one thousand, five hundred sixty-eight".