Search a number
-
+
68910745664 = 266724166683
BaseRepresentation
bin100000000101101100…
…1101000100001000000
320120212111201120211102
41000023121220201000
52112112122330124
651353540233532
74656446450015
oct1001331504100
9216774646742
1068910745664
1127252357182
121143209b8a8
136662889a67
14349a0b370c
151bd4b9daae
hex100b668840

68910745664 has 56 divisors (see below), whose sum is σ = 139363691808. Its totient is φ = 33799772160.

The previous prime is 68910745637. The next prime is 68910745667. The reversal of 68910745664 is 46654701986.

It is not an unprimeable number, because it can be changed into a prime (68910745667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000067 + ... + 1066749.

Almost surely, 268910745664 is an apocalyptic number.

68910745664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68910745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69681845904).

68910745664 is an abundant number, since it is smaller than the sum of its proper divisors (70452946144).

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

68910745664 is a wasteful number, since it uses less digits than its factorization.

68910745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67003 (or 66993 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 68910745664 in words is "sixty-eight billion, nine hundred ten million, seven hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 134 241 268 482 536 964 1072 1928 2144 3856 4288 7712 15424 16147 32294 64588 66683 129176 133366 258352 266732 516704 533464 1033408 1066928 2133856 4267712 4467761 8935522 16070603 17871044 32141206 35742088 64282412 71484176 128564824 142968352 257129648 285936704 514259296 1028518592 1076730401 2153460802 4306921604 8613843208 17227686416 34455372832 68910745664