Search a number
-
+
67714230528 = 283372199931
BaseRepresentation
bin111111000100000101…
…010010100100000000
320110210010021022122000
4333010011102210000
52102134320334103
651035114544000
74615010314500
oct770405224400
9213703238560
1067714230528
1126798a1069a
1211159438000
136501a15839
1433c520da00
151b64b00aa3
hexfc4152900

67714230528 has 216 divisors, whose sum is σ = 232936774560. Its totient is φ = 19346826240.

The previous prime is 67714230509. The next prime is 67714230541. The reversal of 67714230528 is 82503241776.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 238723 + ... + 438653.

Almost surely, 267714230528 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 67714230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116468387280).

67714230528 is an abundant number, since it is smaller than the sum of its proper divisors (165222544032).

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

67714230528 is a wasteful number, since it uses less digits than its factorization.

67714230528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199970 (or 199943 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 67714230528 in words is "sixty-seven billion, seven hundred fourteen million, two hundred thirty thousand, five hundred twenty-eight".