Search a number
-
+
68064919560 = 233251154131771
BaseRepresentation
bin111111011000111111…
…000100000000001000
320111200120011011112200
4333120333010000020
52103344104411220
651134003240200
74626466161501
oct773077040010
9214616134480
1068064919560
1126958966540
1211236979060
136559580541
143419a19ba8
151b857c3890
hexfd8fc4008

68064919560 has 192 divisors, whose sum is σ = 241774752960. Its totient is φ = 16469568000.

The previous prime is 68064919547. The next prime is 68064919621. The reversal of 68064919560 is 6591946086.

It is a happy number.

68064919560 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 491 + 95 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68064919497 and 68064919506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2126475 + ... + 2158245.

It is an arithmetic number, because the mean of its divisors is an integer number (1259243505).

Almost surely, 268064919560 is an apocalyptic number.

68064919560 is a gapful number since it is divisible by the number (60) 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 68064919560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120887376480).

68064919560 is an abundant number, since it is smaller than the sum of its proper divisors (173709833400).

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

68064919560 is a wasteful number, since it uses less digits than its factorization.

68064919560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32340 (or 32333 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 68064919560 in words is "sixty-eight billion, sixty-four million, nine hundred nineteen thousand, five hundred sixty".