Search a number
-
+
67728693264 = 2435932379451
BaseRepresentation
bin111111000100111100…
…011101100000010000
320110211010111002202220
4333010330131200100
52102202021141024
651040352541040
74615244252061
oct770474354020
9213733432686
1067728693264
11267a6099771
1211162251780
136504a0a77b
1433c70d6568
151b6600ae79
hexfc4f1d810

67728693264 has 40 divisors (see below), whose sum is σ = 175260916512. Its totient is φ = 22538150400.

The previous prime is 67728693259. The next prime is 67728693323. The reversal of 67728693264 is 46239682776.

It is a junction number, because it is equal to n+sod(n) for n = 67728693198 and 67728693207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1161262 + ... + 1218189.

Almost surely, 267728693264 is an apocalyptic number.

It is an amenable number.

67728693264 is an abundant number, since it is smaller than the sum of its proper divisors (107532223248).

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

67728693264 is a wasteful number, since it uses less digits than its factorization.

67728693264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380055 (or 2380049 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The spelling of 67728693264 in words is "sixty-seven billion, seven hundred twenty-eight million, six hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 593 1186 1779 2372 3558 4744 7116 9488 14232 28464 2379451 4758902 7138353 9517804 14276706 19035608 28553412 38071216 57106824 114213648 1411014443 2822028886 4233043329 5644057772 8466086658 11288115544 16932173316 22576231088 33864346632 67728693264